What is the Greatest Common Factor of 42627 and 42633?

Greatest common factor (GCF) of 42627 and 42633 is 3.

GCF(42627,42633) = 3

We will now calculate the prime factors of 42627 and 42633, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42627 and 42633.

How to find the GCF of 42627 and 42633?

We will first find the prime factorization of 42627 and 42633. After we will calculate the factors of 42627 and 42633 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 42633

Prime factors of 42633 are 3, 1579. Prime factorization of 42633 in exponential form is:

42633 = 3³ × 1579¹

Step-3: Factors of 42627

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

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

Step-4: Factors of 42633

List of positive integer factors of 42633 that divides 42627 without a remainder.

1, 3, 9, 27, 1579, 4737, 14211

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42627 and 42633. The biggest common factor number is the GCF number.
So the greatest common factor 42627 and 42633 is 3.

Also check out the Least Common Multiple of 42627 and 42633