What is the Greatest Common Factor of 97000 and 97004?

Greatest common factor (GCF) of 97000 and 97004 is 4.

GCF(97000,97004) = 4

We will now calculate the prime factors of 97000 and 97004, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97000 and 97004.

How to find the GCF of 97000 and 97004?

We will first find the prime factorization of 97000 and 97004. After we will calculate the factors of 97000 and 97004 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 97004

Prime factors of 97004 are 2, 24251. Prime factorization of 97004 in exponential form is:

97004 = 2² × 24251¹

Step-3: Factors of 97000

List of positive integer factors of 97000 that divides 97000 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

Step-4: Factors of 97004

List of positive integer factors of 97004 that divides 97000 without a remainder.

1, 2, 4, 24251, 48502

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97000 and 97004. The biggest common factor number is the GCF number.
So the greatest common factor 97000 and 97004 is 4.

Also check out the Least Common Multiple of 97000 and 97004