What is the Greatest Common Factor of 97864 and 97877?

Greatest common factor (GCF) of 97864 and 97877 is 13.

GCF(97864,97877) = 13

We will now calculate the prime factors of 97864 and 97877, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97864 and 97877.

How to find the GCF of 97864 and 97877?

We will first find the prime factorization of 97864 and 97877. After we will calculate the factors of 97864 and 97877 and find the biggest common factor number .

Step-1: Prime Factorization of 97864

Prime factors of 97864 are 2, 13, 941. Prime factorization of 97864 in exponential form is:

97864 = 2³ × 13¹ × 941¹

Step-2: Prime Factorization of 97877

Prime factors of 97877 are 13, 7529. Prime factorization of 97877 in exponential form is:

97877 = 13¹ × 7529¹

Step-3: Factors of 97864

List of positive integer factors of 97864 that divides 97864 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104, 941, 1882, 3764, 7528, 12233, 24466, 48932

Step-4: Factors of 97877

List of positive integer factors of 97877 that divides 97864 without a remainder.

1, 13, 7529

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97864 and 97877. The biggest common factor number is the GCF number.
So the greatest common factor 97864 and 97877 is 13.

Also check out the Least Common Multiple of 97864 and 97877