What is the Greatest Common Factor of 56758 and 56768?

Greatest common factor (GCF) of 56758 and 56768 is 2.

GCF(56758,56768) = 2

We will now calculate the prime factors of 56758 and 56768, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56758 and 56768.

How to find the GCF of 56758 and 56768?

We will first find the prime factorization of 56758 and 56768. After we will calculate the factors of 56758 and 56768 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 56768

Prime factors of 56768 are 2, 887. Prime factorization of 56768 in exponential form is:

56768 = 2⁶ × 887¹

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 56768

List of positive integer factors of 56768 that divides 56758 without a remainder.

1, 2, 4, 8, 16, 32, 64, 887, 1774, 3548, 7096, 14192, 28384

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56758 and 56768. The biggest common factor number is the GCF number.
So the greatest common factor 56758 and 56768 is 2.

Also check out the Least Common Multiple of 56758 and 56768