What is the Greatest Common Factor of 956 and 975?
Greatest common factor (GCF) of 956 and 975 is 1.
GCF(956,975) = 1
We will now calculate the prime factors of 956 and 975, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 956 and 975.
How to find the GCF of 956 and 975?
We will first find the prime factorization of 956 and 975. After we will calculate the factors of 956 and 975 and find the biggest common factor number .
Step-1: Prime Factorization of 956
Prime factors of 956 are 2, 239. Prime factorization of 956 in exponential form is:
956 = 22 × 2391
Step-2: Prime Factorization of 975
Prime factors of 975 are 3, 5, 13. Prime factorization of 975 in exponential form is:
975 = 31 × 52 × 131
Step-3: Factors of 956
List of positive integer factors of 956 that divides 956 without a remainder.
1, 2, 4, 239, 478
Step-4: Factors of 975
List of positive integer factors of 975 that divides 956 without a remainder.
1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 956 and 975. The biggest common factor number is the GCF number.
So the greatest common factor 956 and 975 is 1.
Also check out the Least Common Multiple of 956 and 975
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