What is the Greatest Common Factor of 951 and 957?
Greatest common factor (GCF) of 951 and 957 is 3.
GCF(951,957) = 3
We will now calculate the prime factors of 951 and 957, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 951 and 957.
How to find the GCF of 951 and 957?
We will first find the prime factorization of 951 and 957. After we will calculate the factors of 951 and 957 and find the biggest common factor number .
Step-1: Prime Factorization of 951
Prime factors of 951 are 3, 317. Prime factorization of 951 in exponential form is:
951 = 31 × 3171
Step-2: Prime Factorization of 957
Prime factors of 957 are 3, 11, 29. Prime factorization of 957 in exponential form is:
957 = 31 × 111 × 291
Step-3: Factors of 951
List of positive integer factors of 951 that divides 951 without a remainder.
1, 3, 317
Step-4: Factors of 957
List of positive integer factors of 957 that divides 951 without a remainder.
1, 3, 11, 29, 33, 87, 319
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 951 and 957. The biggest common factor number is the GCF number.
So the greatest common factor 951 and 957 is 3.
Also check out the Least Common Multiple of 951 and 957
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