What is the Greatest Common Factor of 97000 and 97007?

Greatest common factor (GCF) of 97000 and 97007 is 1.

GCF(97000,97007) = 1

We will now calculate the prime factors of 97000 and 97007, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97000 and 97007.

How to find the GCF of 97000 and 97007?

We will first find the prime factorization of 97000 and 97007. After we will calculate the factors of 97000 and 97007 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 97007

Prime factors of 97007 are 97007. Prime factorization of 97007 in exponential form is:

97007 = 97007¹

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 97007

List of positive integer factors of 97007 that divides 97000 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97000 and 97007. The biggest common factor number is the GCF number.
So the greatest common factor 97000 and 97007 is 1.

Also check out the Least Common Multiple of 97000 and 97007