What is the Greatest Common Factor of 77872 and 77876?

Greatest common factor (GCF) of 77872 and 77876 is 4.

GCF(77872,77876) = 4

We will now calculate the prime factors of 77872 and 77876, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77872 and 77876.

How to find the GCF of 77872 and 77876?

We will first find the prime factorization of 77872 and 77876. After we will calculate the factors of 77872 and 77876 and find the biggest common factor number .

Step-1: Prime Factorization of 77872

Prime factors of 77872 are 2, 31, 157. Prime factorization of 77872 in exponential form is:

77872 = 2⁴ × 31¹ × 157¹

Step-2: Prime Factorization of 77876

Prime factors of 77876 are 2, 19469. Prime factorization of 77876 in exponential form is:

77876 = 2² × 19469¹

Step-3: Factors of 77872

List of positive integer factors of 77872 that divides 77872 without a remainder.

1, 2, 4, 8, 16, 31, 62, 124, 157, 248, 314, 496, 628, 1256, 2512, 4867, 9734, 19468, 38936

Step-4: Factors of 77876

List of positive integer factors of 77876 that divides 77872 without a remainder.

1, 2, 4, 19469, 38938

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77872 and 77876. The biggest common factor number is the GCF number.
So the greatest common factor 77872 and 77876 is 4.

Also check out the Least Common Multiple of 77872 and 77876