GCF Practice
Short Answer
1.Find the GCF of 93 and 51 by listing factors
2.Find the GCF of 54 and 90 using prime factorization.
3.Find the GCF of 36, 60, and 96.
4.Find the GCF of 24, 48, and 64.
5.Find the GCF of 24, 60, and 108.
6.Find the GCF of the terms of the polynomial. 44x5 + 34x4
7.Find the GCF of the terms of the polynomial. 48x2 + 21x6
8.Find the GCF of the terms of the polynomial. 28x2 + 35x5
GCF Practice
Answer Section
SHORT ANSWER
1.ANS:
3
PTS:1DIF:L2REF:2-1 Factors
OBJ:2-1.2 Finding the Greatest Common FactorNAT:NAEP N5b
STA:8IL 6.8.08| 8IL 6B.1| 8IL 6B.5TOP:2-1 Example 3
KEY:greatest common factor | factor
2.ANS:
18
PTS:1DIF:L2REF:2-1 Factors
OBJ:2-1.2 Finding the Greatest Common FactorNAT:NAEP N5b
STA:8IL 6.8.08| 8IL 6B.1| 8IL 6B.5TOP:2-1 Example 4
KEY:greatest common factor | factor | prime factorization
3.ANS:
12
PTS:1DIF:L3REF:2-1 Factors
OBJ:2-1.2 Finding the Greatest Common FactorNAT:NAEP N5b
STA:8IL 6.8.08| 8IL 6B.1| 8IL 6B.5TOP:2-1 Example 4
KEY:greatest common factor | factor
4.ANS:
8
PTS:1DIF:L3REF:2-1 Factors
OBJ:2-1.2 Finding the Greatest Common FactorNAT:NAEP N5b
STA:8IL 6.8.08| 8IL 6B.1| 8IL 6B.5TOP:2-1 Example 4
KEY:greatest common factor | factor
5.ANS:
12
PTS:1DIF:L3REF:2-1 Factors
OBJ:2-1.2 Finding the Greatest Common FactorNAT:NAEP N5b
STA:8IL 6.8.08| 8IL 6B.1| 8IL 6B.5TOP:2-1 Example 4
KEY:greatest common factor | factor
6.ANS:
2x4
PTS:1DIF:L2REF:9-2 Multiplying and Factoring
OBJ:9-2.2 Factoring a Monomial from a Polynomial
NAT:NAEP 2005 N5b | NAEP 2005 A3b | NAEP 2005 A3c | ADP J.1.3 | ADP J.1.4
STA:IL 8.11.01TOP:9-2 Example 2
KEY:polynomial | greatest common factor in a polynomial | factoring out a monomial
7.ANS:
3x2
PTS:1DIF:L2REF:9-2 Multiplying and Factoring
OBJ:9-2.2 Factoring a Monomial from a Polynomial
NAT:NAEP 2005 N5b | NAEP 2005 A3b | NAEP 2005 A3c | ADP J.1.3 | ADP J.1.4
STA:IL 8.11.01TOP:9-2 Example 2
KEY:polynomial | greatest common factor in a polynomial | factoring out a monomial
8.ANS:
7x2
PTS:1DIF:L2REF:9-2 Multiplying and Factoring
OBJ:9-2.2 Factoring a Monomial from a Polynomial
NAT:NAEP 2005 N5b | NAEP 2005 A3b | NAEP 2005 A3c | ADP J.1.3 | ADP J.1.4
STA:IL 8.11.01TOP:9-2 Example 2
KEY:polynomial | greatest common factor in a polynomial | factoring out a monomial