What is the Greatest Common Factor of 42633 and 42639?

Greatest common factor (GCF) of 42633 and 42639 is 3.

GCF(42633,42639) = 3

We will now calculate the prime factors of 42633 and 42639, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42633 and 42639.

How to find the GCF of 42633 and 42639?

We will first find the prime factorization of 42633 and 42639. After we will calculate the factors of 42633 and 42639 and find the biggest common factor number .

Step-1: Prime Factorization of 42633

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

42633 = 3³ × 1579¹

Step-2: Prime Factorization of 42639

Prime factors of 42639 are 3, 61, 233. Prime factorization of 42639 in exponential form is:

42639 = 3¹ × 61¹ × 233¹

Step-3: Factors of 42633

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

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

Step-4: Factors of 42639

List of positive integer factors of 42639 that divides 42633 without a remainder.

1, 3, 61, 183, 233, 699, 14213

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42633 and 42639. The biggest common factor number is the GCF number.
So the greatest common factor 42633 and 42639 is 3.

Also check out the Least Common Multiple of 42633 and 42639