What is the Greatest Common Factor of 77872 and 77877?

Greatest common factor (GCF) of 77872 and 77877 is 1.

GCF(77872,77877) = 1

We will now calculate the prime factors of 77872 and 77877, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77872 and 77877.

How to find the GCF of 77872 and 77877?

We will first find the prime factorization of 77872 and 77877. After we will calculate the factors of 77872 and 77877 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 77877

Prime factors of 77877 are 3, 17, 509. Prime factorization of 77877 in exponential form is:

77877 = 3² × 17¹ × 509¹

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 77877

List of positive integer factors of 77877 that divides 77872 without a remainder.

1, 3, 9, 17, 51, 153, 509, 1527, 4581, 8653, 25959

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77872 and 77877. The biggest common factor number is the GCF number.
So the greatest common factor 77872 and 77877 is 1.

Also check out the Least Common Multiple of 77872 and 77877