What is the Greatest Common Factor of 96992 and 97000?

Greatest common factor (GCF) of 96992 and 97000 is 8.

GCF(96992,97000) = 8

We will now calculate the prime factors of 96992 and 97000, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96992 and 97000.

How to find the GCF of 96992 and 97000?

We will first find the prime factorization of 96992 and 97000. After we will calculate the factors of 96992 and 97000 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 97000

Prime factors of 97000 are 2, 5, 97. Prime factorization of 97000 in exponential form is:

97000 = 2³ × 5³ × 97¹

Step-3: Factors of 96992

List of positive integer factors of 96992 that divides 96992 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

Step-4: Factors of 97000

List of positive integer factors of 97000 that divides 96992 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 97, 100, 125, 194, 200, 250, 388, 485, 500, 776, 970, 1000, 1940, 2425, 3880, 4850, 9700, 12125, 19400, 24250, 48500

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96992 and 97000. The biggest common factor number is the GCF number.
So the greatest common factor 96992 and 97000 is 8.

Also check out the Least Common Multiple of 96992 and 97000