What is the Greatest Common Factor of 42614 and 42627?

Greatest common factor (GCF) of 42614 and 42627 is 13.

GCF(42614,42627) = 13

We will now calculate the prime factors of 42614 and 42627, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42614 and 42627.

How to find the GCF of 42614 and 42627?

We will first find the prime factorization of 42614 and 42627. After we will calculate the factors of 42614 and 42627 and find the biggest common factor number .

Step-1: Prime Factorization of 42614

Prime factors of 42614 are 2, 11, 13, 149. Prime factorization of 42614 in exponential form is:

42614 = 2¹ × 11¹ × 13¹ × 149¹

Step-2: Prime Factorization of 42627

Prime factors of 42627 are 3, 13, 1093. Prime factorization of 42627 in exponential form is:

42627 = 3¹ × 13¹ × 1093¹

Step-3: Factors of 42614

List of positive integer factors of 42614 that divides 42614 without a remainder.

1, 2, 11, 13, 22, 26, 143, 149, 286, 298, 1639, 1937, 3278, 3874, 21307

Step-4: Factors of 42627

List of positive integer factors of 42627 that divides 42614 without a remainder.

1, 3, 13, 39, 1093, 3279, 14209

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42614 and 42627. The biggest common factor number is the GCF number.
So the greatest common factor 42614 and 42627 is 13.

Also check out the Least Common Multiple of 42614 and 42627