What is the Greatest Common Factor of 56742 and 56746?

Greatest common factor (GCF) of 56742 and 56746 is 2.

GCF(56742,56746) = 2

We will now calculate the prime factors of 56742 and 56746, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56742 and 56746.

How to find the GCF of 56742 and 56746?

We will first find the prime factorization of 56742 and 56746. After we will calculate the factors of 56742 and 56746 and find the biggest common factor number .

Step-1: 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-2: 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-3: Factors of 56742

List of positive integer factors of 56742 that divides 56742 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

Step-4: Factors of 56746

List of positive integer factors of 56746 that divides 56742 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56742 and 56746. The biggest common factor number is the GCF number.
So the greatest common factor 56742 and 56746 is 2.

Also check out the Least Common Multiple of 56742 and 56746