What is the Greatest Common Factor of 77872 and 77892?

Greatest common factor (GCF) of 77872 and 77892 is 4.

GCF(77872,77892) = 4

We will now calculate the prime factors of 77872 and 77892, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77872 and 77892.

How to find the GCF of 77872 and 77892?

We will first find the prime factorization of 77872 and 77892. After we will calculate the factors of 77872 and 77892 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 77892

Prime factors of 77892 are 2, 3, 6491. Prime factorization of 77892 in exponential form is:

77892 = 2² × 3¹ × 6491¹

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 77892

List of positive integer factors of 77892 that divides 77872 without a remainder.

1, 2, 3, 4, 6, 12, 6491, 12982, 19473, 25964, 38946

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77872 and 77892. The biggest common factor number is the GCF number.
So the greatest common factor 77872 and 77892 is 4.

Also check out the Least Common Multiple of 77872 and 77892