What is the Greatest Common Factor of 97100 and 97113?

Greatest common factor (GCF) of 97100 and 97113 is 1.

GCF(97100,97113) = 1

We will now calculate the prime factors of 97100 and 97113, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97100 and 97113.

How to find the GCF of 97100 and 97113?

We will first find the prime factorization of 97100 and 97113. After we will calculate the factors of 97100 and 97113 and find the biggest common factor number .

Step-1: Prime Factorization of 97100

Prime factors of 97100 are 2, 5, 971. Prime factorization of 97100 in exponential form is:

97100 = 2² × 5² × 971¹

Step-2: Prime Factorization of 97113

Prime factors of 97113 are 3, 32371. Prime factorization of 97113 in exponential form is:

97113 = 3¹ × 32371¹

Step-3: Factors of 97100

List of positive integer factors of 97100 that divides 97100 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 971, 1942, 3884, 4855, 9710, 19420, 24275, 48550

Step-4: Factors of 97113

List of positive integer factors of 97113 that divides 97100 without a remainder.

1, 3, 32371

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97100 and 97113. The biggest common factor number is the GCF number.
So the greatest common factor 97100 and 97113 is 1.

Also check out the Least Common Multiple of 97100 and 97113