What is the Greatest Common Factor of 56762 and 56780?

Greatest common factor (GCF) of 56762 and 56780 is 2.

GCF(56762,56780) = 2

We will now calculate the prime factors of 56762 and 56780, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56762 and 56780.

How to find the GCF of 56762 and 56780?

We will first find the prime factorization of 56762 and 56780. After we will calculate the factors of 56762 and 56780 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 56780

Prime factors of 56780 are 2, 5, 17, 167. Prime factorization of 56780 in exponential form is:

56780 = 2² × 5¹ × 17¹ × 167¹

Step-3: Factors of 56762

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

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

Step-4: Factors of 56780

List of positive integer factors of 56780 that divides 56762 without a remainder.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 167, 170, 334, 340, 668, 835, 1670, 2839, 3340, 5678, 11356, 14195, 28390

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56762 and 56780. The biggest common factor number is the GCF number.
So the greatest common factor 56762 and 56780 is 2.

Also check out the Least Common Multiple of 56762 and 56780