What is the Greatest Common Factor of 68844 and 68856?

Greatest common factor (GCF) of 68844 and 68856 is 12.

GCF(68844,68856) = 12

We will now calculate the prime factors of 68844 and 68856, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68844 and 68856.

How to find the GCF of 68844 and 68856?

We will first find the prime factorization of 68844 and 68856. After we will calculate the factors of 68844 and 68856 and find the biggest common factor number .

Step-1: Prime Factorization of 68844

Prime factors of 68844 are 2, 3, 5737. Prime factorization of 68844 in exponential form is:

68844 = 2² × 3¹ × 5737¹

Step-2: Prime Factorization of 68856

Prime factors of 68856 are 2, 3, 19, 151. Prime factorization of 68856 in exponential form is:

68856 = 2³ × 3¹ × 19¹ × 151¹

Step-3: Factors of 68844

List of positive integer factors of 68844 that divides 68844 without a remainder.

1, 2, 3, 4, 6, 12, 5737, 11474, 17211, 22948, 34422

Step-4: Factors of 68856

List of positive integer factors of 68856 that divides 68844 without a remainder.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 151, 152, 228, 302, 453, 456, 604, 906, 1208, 1812, 2869, 3624, 5738, 8607, 11476, 17214, 22952, 34428

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68844 and 68856. The biggest common factor number is the GCF number.
So the greatest common factor 68844 and 68856 is 12.

Also check out the Least Common Multiple of 68844 and 68856