What is the Greatest Common Factor of 56720 and 56738?

Greatest common factor (GCF) of 56720 and 56738 is 2.

GCF(56720,56738) = 2

We will now calculate the prime factors of 56720 and 56738, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56720 and 56738.

How to find the GCF of 56720 and 56738?

We will first find the prime factorization of 56720 and 56738. After we will calculate the factors of 56720 and 56738 and find the biggest common factor number .

Step-1: Prime Factorization of 56720

Prime factors of 56720 are 2, 5, 709. Prime factorization of 56720 in exponential form is:

56720 = 2⁴ × 5¹ × 709¹

Step-2: Prime Factorization of 56738

Prime factors of 56738 are 2, 11, 2579. Prime factorization of 56738 in exponential form is:

56738 = 2¹ × 11¹ × 2579¹

Step-3: Factors of 56720

List of positive integer factors of 56720 that divides 56720 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 709, 1418, 2836, 3545, 5672, 7090, 11344, 14180, 28360

Step-4: Factors of 56738

List of positive integer factors of 56738 that divides 56720 without a remainder.

1, 2, 11, 22, 2579, 5158, 28369

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56720 and 56738. The biggest common factor number is the GCF number.
So the greatest common factor 56720 and 56738 is 2.

Also check out the Least Common Multiple of 56720 and 56738