What is the Greatest Common Factor of 56728 and 56742?

Greatest common factor (GCF) of 56728 and 56742 is 14.

GCF(56728,56742) = 14

We will now calculate the prime factors of 56728 and 56742, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56728 and 56742.

How to find the GCF of 56728 and 56742?

We will first find the prime factorization of 56728 and 56742. After we will calculate the factors of 56728 and 56742 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 56742

Prime factors of 56742 are 2, 3, 7, 193. Prime factorization of 56742 in exponential form is:

56742 = 2¹ × 3¹ × 7² × 193¹

Step-3: Factors of 56728

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

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

Step-4: Factors of 56742

List of positive integer factors of 56742 that divides 56728 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 193, 294, 386, 579, 1158, 1351, 2702, 4053, 8106, 9457, 18914, 28371

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56728 and 56742. The biggest common factor number is the GCF number.
So the greatest common factor 56728 and 56742 is 14.

Also check out the Least Common Multiple of 56728 and 56742