What is the Greatest Common Factor of 77856 and 77872?

Greatest common factor (GCF) of 77856 and 77872 is 16.

GCF(77856,77872) = 16

We will now calculate the prime factors of 77856 and 77872, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77856 and 77872.

How to find the GCF of 77856 and 77872?

We will first find the prime factorization of 77856 and 77872. After we will calculate the factors of 77856 and 77872 and find the biggest common factor number .

Step-1: Prime Factorization of 77856

Prime factors of 77856 are 2, 3, 811. Prime factorization of 77856 in exponential form is:

77856 = 2⁵ × 3¹ × 811¹

Step-2: 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-3: Factors of 77856

List of positive integer factors of 77856 that divides 77856 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 811, 1622, 2433, 3244, 4866, 6488, 9732, 12976, 19464, 25952, 38928

Step-4: Factors of 77872

List of positive integer factors of 77872 that divides 77856 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77856 and 77872. The biggest common factor number is the GCF number.
So the greatest common factor 77856 and 77872 is 16.

Also check out the Least Common Multiple of 77856 and 77872