What is the Greatest Common Factor of 56735 and 56742?

Greatest common factor (GCF) of 56735 and 56742 is 7.

GCF(56735,56742) = 7

We will now calculate the prime factors of 56735 and 56742, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56735 and 56742.

How to find the GCF of 56735 and 56742?

We will first find the prime factorization of 56735 and 56742. After we will calculate the factors of 56735 and 56742 and find the biggest common factor number .

Step-1: Prime Factorization of 56735

Prime factors of 56735 are 5, 7, 1621. Prime factorization of 56735 in exponential form is:

56735 = 5¹ × 7¹ × 1621¹

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 56735

List of positive integer factors of 56735 that divides 56735 without a remainder.

1, 5, 7, 35, 1621, 8105, 11347

Step-4: Factors of 56742

List of positive integer factors of 56742 that divides 56735 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 56735 and 56742. The biggest common factor number is the GCF number.
So the greatest common factor 56735 and 56742 is 7.

Also check out the Least Common Multiple of 56735 and 56742