What is the Greatest Common Factor of 97000 and 97011?

Greatest common factor (GCF) of 97000 and 97011 is 1.

GCF(97000,97011) = 1

We will now calculate the prime factors of 97000 and 97011, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97000 and 97011.

How to find the GCF of 97000 and 97011?

We will first find the prime factorization of 97000 and 97011. After we will calculate the factors of 97000 and 97011 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 97011

Prime factors of 97011 are 3, 3593. Prime factorization of 97011 in exponential form is:

97011 = 3³ × 3593¹

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 97011

List of positive integer factors of 97011 that divides 97000 without a remainder.

1, 3, 9, 27, 3593, 10779, 32337

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97000 and 97011. The biggest common factor number is the GCF number.
So the greatest common factor 97000 and 97011 is 1.

Also check out the Least Common Multiple of 97000 and 97011