What is the Greatest Common Factor of 948 and 952?
Greatest common factor (GCF) of 948 and 952 is 4.
GCF(948,952) = 4
We will now calculate the prime factors of 948 and 952, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 948 and 952.
How to find the GCF of 948 and 952?
We will first find the prime factorization of 948 and 952. After we will calculate the factors of 948 and 952 and find the biggest common factor number .
Step-1: Prime Factorization of 948
Prime factors of 948 are 2, 3, 79. Prime factorization of 948 in exponential form is:
948 = 22 × 31 × 791
Step-2: Prime Factorization of 952
Prime factors of 952 are 2, 7, 17. Prime factorization of 952 in exponential form is:
952 = 23 × 71 × 171
Step-3: Factors of 948
List of positive integer factors of 948 that divides 948 without a remainder.
1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474
Step-4: Factors of 952
List of positive integer factors of 952 that divides 948 without a remainder.
1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 948 and 952. The biggest common factor number is the GCF number.
So the greatest common factor 948 and 952 is 4.
Also check out the Least Common Multiple of 948 and 952
Related Greatest Common Factors of 948
- GCF of 948 and 952
- GCF of 948 and 953
- GCF of 948 and 954
- GCF of 948 and 955
- GCF of 948 and 956
- GCF of 948 and 957
- GCF of 948 and 958
- GCF of 948 and 959
- GCF of 948 and 960
- GCF of 948 and 961
- GCF of 948 and 962
- GCF of 948 and 963
- GCF of 948 and 964
- GCF of 948 and 965
- GCF of 948 and 966
- GCF of 948 and 967
- GCF of 948 and 968
Related Greatest Common Factors of 952
- GCF of 952 and 956
- GCF of 952 and 957
- GCF of 952 and 958
- GCF of 952 and 959
- GCF of 952 and 960
- GCF of 952 and 961
- GCF of 952 and 962
- GCF of 952 and 963
- GCF of 952 and 964
- GCF of 952 and 965
- GCF of 952 and 966
- GCF of 952 and 967
- GCF of 952 and 968
- GCF of 952 and 969
- GCF of 952 and 970
- GCF of 952 and 971
- GCF of 952 and 972