What is the Greatest Common Factor of 77872 and 77891?

Greatest common factor (GCF) of 77872 and 77891 is 1.

GCF(77872,77891) = 1

We will now calculate the prime factors of 77872 and 77891, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77872 and 77891.

How to find the GCF of 77872 and 77891?

We will first find the prime factorization of 77872 and 77891. After we will calculate the factors of 77872 and 77891 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 77891

Prime factors of 77891 are 11, 73, 97. Prime factorization of 77891 in exponential form is:

77891 = 11¹ × 73¹ × 97¹

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 77891

List of positive integer factors of 77891 that divides 77872 without a remainder.

1, 11, 73, 97, 803, 1067, 7081

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77872 and 77891. The biggest common factor number is the GCF number.
So the greatest common factor 77872 and 77891 is 1.

Also check out the Least Common Multiple of 77872 and 77891