What is the Greatest Common Factor of 77872 and 77879?

Greatest common factor (GCF) of 77872 and 77879 is 1.

GCF(77872,77879) = 1

We will now calculate the prime factors of 77872 and 77879, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77872 and 77879.

How to find the GCF of 77872 and 77879?

We will first find the prime factorization of 77872 and 77879. After we will calculate the factors of 77872 and 77879 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 77879

Prime factors of 77879 are 47, 1657. Prime factorization of 77879 in exponential form is:

77879 = 47¹ × 1657¹

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 77879

List of positive integer factors of 77879 that divides 77872 without a remainder.

1, 47, 1657

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77872 and 77879. The biggest common factor number is the GCF number.
So the greatest common factor 77872 and 77879 is 1.

Also check out the Least Common Multiple of 77872 and 77879