What is the Greatest Common Factor of 56744 and 56762?

Greatest common factor (GCF) of 56744 and 56762 is 2.

GCF(56744,56762) = 2

We will now calculate the prime factors of 56744 and 56762, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56744 and 56762.

How to find the GCF of 56744 and 56762?

We will first find the prime factorization of 56744 and 56762. After we will calculate the factors of 56744 and 56762 and find the biggest common factor number .

Step-1: Prime Factorization of 56744

Prime factors of 56744 are 2, 41, 173. Prime factorization of 56744 in exponential form is:

56744 = 2³ × 41¹ × 173¹

Step-2: Prime Factorization of 56762

Prime factors of 56762 are 2, 101, 281. Prime factorization of 56762 in exponential form is:

56762 = 2¹ × 101¹ × 281¹

Step-3: Factors of 56744

List of positive integer factors of 56744 that divides 56744 without a remainder.

1, 2, 4, 8, 41, 82, 164, 173, 328, 346, 692, 1384, 7093, 14186, 28372

Step-4: Factors of 56762

List of positive integer factors of 56762 that divides 56744 without a remainder.

1, 2, 101, 202, 281, 562, 28381

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56744 and 56762. The biggest common factor number is the GCF number.
So the greatest common factor 56744 and 56762 is 2.

Also check out the Least Common Multiple of 56744 and 56762