What is the Greatest Common Factor of 56714 and 56728?

Greatest common factor (GCF) of 56714 and 56728 is 14.

GCF(56714,56728) = 14

We will now calculate the prime factors of 56714 and 56728, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56714 and 56728.

How to find the GCF of 56714 and 56728?

We will first find the prime factorization of 56714 and 56728. After we will calculate the factors of 56714 and 56728 and find the biggest common factor number .

Step-1: Prime Factorization of 56714

Prime factors of 56714 are 2, 7, 4051. Prime factorization of 56714 in exponential form is:

56714 = 2¹ × 7¹ × 4051¹

Step-2: Prime Factorization of 56728

Prime factors of 56728 are 2, 7, 1013. Prime factorization of 56728 in exponential form is:

56728 = 2³ × 7¹ × 1013¹

Step-3: Factors of 56714

List of positive integer factors of 56714 that divides 56714 without a remainder.

1, 2, 7, 14, 4051, 8102, 28357

Step-4: Factors of 56728

List of positive integer factors of 56728 that divides 56714 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 1013, 2026, 4052, 7091, 8104, 14182, 28364

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56714 and 56728. The biggest common factor number is the GCF number.
So the greatest common factor 56714 and 56728 is 14.

Also check out the Least Common Multiple of 56714 and 56728