What is the Greatest Common Factor of 56758 and 56771?

Greatest common factor (GCF) of 56758 and 56771 is 13.

GCF(56758,56771) = 13

We will now calculate the prime factors of 56758 and 56771, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56758 and 56771.

How to find the GCF of 56758 and 56771?

We will first find the prime factorization of 56758 and 56771. After we will calculate the factors of 56758 and 56771 and find the biggest common factor number .

Step-1: Prime Factorization of 56758

Prime factors of 56758 are 2, 13, 37, 59. Prime factorization of 56758 in exponential form is:

56758 = 2¹ × 13¹ × 37¹ × 59¹

Step-2: Prime Factorization of 56771

Prime factors of 56771 are 11, 13, 397. Prime factorization of 56771 in exponential form is:

56771 = 11¹ × 13¹ × 397¹

Step-3: Factors of 56758

List of positive integer factors of 56758 that divides 56758 without a remainder.

1, 2, 13, 26, 37, 59, 74, 118, 481, 767, 962, 1534, 2183, 4366, 28379

Step-4: Factors of 56771

List of positive integer factors of 56771 that divides 56758 without a remainder.

1, 11, 13, 143, 397, 4367, 5161

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56758 and 56771. The biggest common factor number is the GCF number.
So the greatest common factor 56758 and 56771 is 13.

Also check out the Least Common Multiple of 56758 and 56771