What is the Greatest Common Factor of 95968 and 95978?

Greatest common factor (GCF) of 95968 and 95978 is 2.

GCF(95968,95978) = 2

We will now calculate the prime factors of 95968 and 95978, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95968 and 95978.

How to find the GCF of 95968 and 95978?

We will first find the prime factorization of 95968 and 95978. After we will calculate the factors of 95968 and 95978 and find the biggest common factor number .

Step-1: Prime Factorization of 95968

Prime factors of 95968 are 2, 2999. Prime factorization of 95968 in exponential form is:

95968 = 2⁵ × 2999¹

Step-2: Prime Factorization of 95978

Prime factors of 95978 are 2, 37, 1297. Prime factorization of 95978 in exponential form is:

95978 = 2¹ × 37¹ × 1297¹

Step-3: Factors of 95968

List of positive integer factors of 95968 that divides 95968 without a remainder.

1, 2, 4, 8, 16, 32, 2999, 5998, 11996, 23992, 47984

Step-4: Factors of 95978

List of positive integer factors of 95978 that divides 95968 without a remainder.

1, 2, 37, 74, 1297, 2594, 47989

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95968 and 95978. The biggest common factor number is the GCF number.
So the greatest common factor 95968 and 95978 is 2.

Also check out the Least Common Multiple of 95968 and 95978