What is the Greatest Common Factor of 962 and 966?
Greatest common factor (GCF) of 962 and 966 is 2.
GCF(962,966) = 2
We will now calculate the prime factors of 962 and 966, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 962 and 966.
How to find the GCF of 962 and 966?
We will first find the prime factorization of 962 and 966. After we will calculate the factors of 962 and 966 and find the biggest common factor number .
Step-1: Prime Factorization of 962
Prime factors of 962 are 2, 13, 37. Prime factorization of 962 in exponential form is:
962 = 21 × 131 × 371
Step-2: Prime Factorization of 966
Prime factors of 966 are 2, 3, 7, 23. Prime factorization of 966 in exponential form is:
966 = 21 × 31 × 71 × 231
Step-3: Factors of 962
List of positive integer factors of 962 that divides 962 without a remainder.
1, 2, 13, 26, 37, 74, 481
Step-4: Factors of 966
List of positive integer factors of 966 that divides 962 without a remainder.
1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 962 and 966. The biggest common factor number is the GCF number.
So the greatest common factor 962 and 966 is 2.
Also check out the Least Common Multiple of 962 and 966
Related Greatest Common Factors of 962
- GCF of 962 and 966
- GCF of 962 and 967
- GCF of 962 and 968
- GCF of 962 and 969
- GCF of 962 and 970
- GCF of 962 and 971
- GCF of 962 and 972
- GCF of 962 and 973
- GCF of 962 and 974
- GCF of 962 and 975
- GCF of 962 and 976
- GCF of 962 and 977
- GCF of 962 and 978
- GCF of 962 and 979
- GCF of 962 and 980
- GCF of 962 and 981
- GCF of 962 and 982
Related Greatest Common Factors of 966
- GCF of 966 and 970
- GCF of 966 and 971
- GCF of 966 and 972
- GCF of 966 and 973
- GCF of 966 and 974
- GCF of 966 and 975
- GCF of 966 and 976
- GCF of 966 and 977
- GCF of 966 and 978
- GCF of 966 and 979
- GCF of 966 and 980
- GCF of 966 and 981
- GCF of 966 and 982
- GCF of 966 and 983
- GCF of 966 and 984
- GCF of 966 and 985
- GCF of 966 and 986