What is the Greatest Common Factor of 97864 and 97876?

Greatest common factor (GCF) of 97864 and 97876 is 4.

GCF(97864,97876) = 4

We will now calculate the prime factors of 97864 and 97876, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97864 and 97876.

How to find the GCF of 97864 and 97876?

We will first find the prime factorization of 97864 and 97876. After we will calculate the factors of 97864 and 97876 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 97876

Prime factors of 97876 are 2, 24469. Prime factorization of 97876 in exponential form is:

97876 = 2² × 24469¹

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 97876

List of positive integer factors of 97876 that divides 97864 without a remainder.

1, 2, 4, 24469, 48938

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97864 and 97876. The biggest common factor number is the GCF number.
So the greatest common factor 97864 and 97876 is 4.

Also check out the Least Common Multiple of 97864 and 97876