What is the Greatest Common Factor of 56772 and 56791?

Greatest common factor (GCF) of 56772 and 56791 is 19.

GCF(56772,56791) = 19

We will now calculate the prime factors of 56772 and 56791, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56772 and 56791.

How to find the GCF of 56772 and 56791?

We will first find the prime factorization of 56772 and 56791. After we will calculate the factors of 56772 and 56791 and find the biggest common factor number .

Step-1: Prime Factorization of 56772

Prime factors of 56772 are 2, 3, 19, 83. Prime factorization of 56772 in exponential form is:

56772 = 2² × 3² × 19¹ × 83¹

Step-2: Prime Factorization of 56791

Prime factors of 56791 are 7, 19, 61. Prime factorization of 56791 in exponential form is:

56791 = 7² × 19¹ × 61¹

Step-3: Factors of 56772

List of positive integer factors of 56772 that divides 56772 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 83, 114, 166, 171, 228, 249, 332, 342, 498, 684, 747, 996, 1494, 1577, 2988, 3154, 4731, 6308, 9462, 14193, 18924, 28386

Step-4: Factors of 56791

List of positive integer factors of 56791 that divides 56772 without a remainder.

1, 7, 19, 49, 61, 133, 427, 931, 1159, 2989, 8113

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56772 and 56791. The biggest common factor number is the GCF number.
So the greatest common factor 56772 and 56791 is 19.

Also check out the Least Common Multiple of 56772 and 56791