What is the Greatest Common Factor of 968 and 975?
Greatest common factor (GCF) of 968 and 975 is 1.
GCF(968,975) = 1
We will now calculate the prime factors of 968 and 975, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 968 and 975.
How to find the GCF of 968 and 975?
We will first find the prime factorization of 968 and 975. After we will calculate the factors of 968 and 975 and find the biggest common factor number .
Step-1: Prime Factorization of 968
Prime factors of 968 are 2, 11. Prime factorization of 968 in exponential form is:
968 = 23 × 112
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 968
List of positive integer factors of 968 that divides 968 without a remainder.
1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484
Step-4: Factors of 975
List of positive integer factors of 975 that divides 968 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 968 and 975. The biggest common factor number is the GCF number.
So the greatest common factor 968 and 975 is 1.
Also check out the Least Common Multiple of 968 and 975
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