What is the Greatest Common Factor of 56746 and 56752?

Greatest common factor (GCF) of 56746 and 56752 is 2.

GCF(56746,56752) = 2

We will now calculate the prime factors of 56746 and 56752, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56746 and 56752.

How to find the GCF of 56746 and 56752?

We will first find the prime factorization of 56746 and 56752. After we will calculate the factors of 56746 and 56752 and find the biggest common factor number .

Step-1: Prime Factorization of 56746

Prime factors of 56746 are 2, 17, 1669. Prime factorization of 56746 in exponential form is:

56746 = 2¹ × 17¹ × 1669¹

Step-2: Prime Factorization of 56752

Prime factors of 56752 are 2, 3547. Prime factorization of 56752 in exponential form is:

56752 = 2⁴ × 3547¹

Step-3: Factors of 56746

List of positive integer factors of 56746 that divides 56746 without a remainder.

1, 2, 17, 34, 1669, 3338, 28373

Step-4: Factors of 56752

List of positive integer factors of 56752 that divides 56746 without a remainder.

1, 2, 4, 8, 16, 3547, 7094, 14188, 28376

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56746 and 56752. The biggest common factor number is the GCF number.
So the greatest common factor 56746 and 56752 is 2.

Also check out the Least Common Multiple of 56746 and 56752