What is the Greatest Common Factor of 77844 and 77856?

Greatest common factor (GCF) of 77844 and 77856 is 12.

GCF(77844,77856) = 12

We will now calculate the prime factors of 77844 and 77856, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77844 and 77856.

How to find the GCF of 77844 and 77856?

We will first find the prime factorization of 77844 and 77856. After we will calculate the factors of 77844 and 77856 and find the biggest common factor number .

Step-1: Prime Factorization of 77844

Prime factors of 77844 are 2, 3, 13, 499. Prime factorization of 77844 in exponential form is:

77844 = 2² × 3¹ × 13¹ × 499¹

Step-2: 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-3: Factors of 77844

List of positive integer factors of 77844 that divides 77844 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156, 499, 998, 1497, 1996, 2994, 5988, 6487, 12974, 19461, 25948, 38922

Step-4: Factors of 77856

List of positive integer factors of 77856 that divides 77844 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77844 and 77856. The biggest common factor number is the GCF number.
So the greatest common factor 77844 and 77856 is 12.

Also check out the Least Common Multiple of 77844 and 77856