What is the Greatest Common Factor of 96975 and 96992?

Greatest common factor (GCF) of 96975 and 96992 is 1.

GCF(96975,96992) = 1

We will now calculate the prime factors of 96975 and 96992, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96975 and 96992.

How to find the GCF of 96975 and 96992?

We will first find the prime factorization of 96975 and 96992. After we will calculate the factors of 96975 and 96992 and find the biggest common factor number .

Step-1: Prime Factorization of 96975

Prime factors of 96975 are 3, 5, 431. Prime factorization of 96975 in exponential form is:

96975 = 3² × 5² × 431¹

Step-2: Prime Factorization of 96992

Prime factors of 96992 are 2, 7, 433. Prime factorization of 96992 in exponential form is:

96992 = 2⁵ × 7¹ × 433¹

Step-3: Factors of 96975

List of positive integer factors of 96975 that divides 96975 without a remainder.

1, 3, 5, 9, 15, 25, 45, 75, 225, 431, 1293, 2155, 3879, 6465, 10775, 19395, 32325

Step-4: Factors of 96992

List of positive integer factors of 96992 that divides 96975 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224, 433, 866, 1732, 3031, 3464, 6062, 6928, 12124, 13856, 24248, 48496

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96975 and 96992. The biggest common factor number is the GCF number.
So the greatest common factor 96975 and 96992 is 1.

Also check out the Least Common Multiple of 96975 and 96992