What is the Greatest Common Factor of 77844 and 77857?

Greatest common factor (GCF) of 77844 and 77857 is 13.

GCF(77844,77857) = 13

We will now calculate the prime factors of 77844 and 77857, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77844 and 77857.

How to find the GCF of 77844 and 77857?

We will first find the prime factorization of 77844 and 77857. After we will calculate the factors of 77844 and 77857 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 77857

Prime factors of 77857 are 13, 53, 113. Prime factorization of 77857 in exponential form is:

77857 = 13¹ × 53¹ × 113¹

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 77857

List of positive integer factors of 77857 that divides 77844 without a remainder.

1, 13, 53, 113, 689, 1469, 5989

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77844 and 77857. The biggest common factor number is the GCF number.
So the greatest common factor 77844 and 77857 is 13.

Also check out the Least Common Multiple of 77844 and 77857