What is the Greatest Common Factor of 56742 and 56749?

Greatest common factor (GCF) of 56742 and 56749 is 7.

GCF(56742,56749) = 7

We will now calculate the prime factors of 56742 and 56749, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56742 and 56749.

How to find the GCF of 56742 and 56749?

We will first find the prime factorization of 56742 and 56749. After we will calculate the factors of 56742 and 56749 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 56749

Prime factors of 56749 are 7, 11, 67. Prime factorization of 56749 in exponential form is:

56749 = 7¹ × 11² × 67¹

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 56749

List of positive integer factors of 56749 that divides 56742 without a remainder.

1, 7, 11, 67, 77, 121, 469, 737, 847, 5159, 8107

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56742 and 56749. The biggest common factor number is the GCF number.
So the greatest common factor 56742 and 56749 is 7.

Also check out the Least Common Multiple of 56742 and 56749