What is the Greatest Common Factor of 972 and 982?
Greatest common factor (GCF) of 972 and 982 is 2.
GCF(972,982) = 2
We will now calculate the prime factors of 972 and 982, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 972 and 982.
How to find the GCF of 972 and 982?
We will first find the prime factorization of 972 and 982. After we will calculate the factors of 972 and 982 and find the biggest common factor number .
Step-1: Prime Factorization of 972
Prime factors of 972 are 2, 3. Prime factorization of 972 in exponential form is:
972 = 22 × 35
Step-2: Prime Factorization of 982
Prime factors of 982 are 2, 491. Prime factorization of 982 in exponential form is:
982 = 21 × 4911
Step-3: Factors of 972
List of positive integer factors of 972 that divides 972 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486
Step-4: Factors of 982
List of positive integer factors of 982 that divides 972 without a remainder.
1, 2, 491
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 972 and 982. The biggest common factor number is the GCF number.
So the greatest common factor 972 and 982 is 2.
Also check out the Least Common Multiple of 972 and 982
Related Greatest Common Factors of 972
- GCF of 972 and 976
- GCF of 972 and 977
- GCF of 972 and 978
- GCF of 972 and 979
- GCF of 972 and 980
- GCF of 972 and 981
- GCF of 972 and 982
- GCF of 972 and 983
- GCF of 972 and 984
- GCF of 972 and 985
- GCF of 972 and 986
- GCF of 972 and 987
- GCF of 972 and 988
- GCF of 972 and 989
- GCF of 972 and 990
- GCF of 972 and 991
- GCF of 972 and 992
Related Greatest Common Factors of 982
- GCF of 982 and 986
- GCF of 982 and 987
- GCF of 982 and 988
- GCF of 982 and 989
- GCF of 982 and 990
- GCF of 982 and 991
- GCF of 982 and 992
- GCF of 982 and 993
- GCF of 982 and 994
- GCF of 982 and 995
- GCF of 982 and 996
- GCF of 982 and 997
- GCF of 982 and 998
- GCF of 982 and 999
- GCF of 982 and 1000
- GCF of 982 and 1001
- GCF of 982 and 1002