What is the Greatest Common Factor of 23628 and 23639?

Greatest common factor (GCF) of 23628 and 23639 is 11.

GCF(23628,23639) = 11

We will now calculate the prime factors of 23628 and 23639, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23628 and 23639.

How to find the GCF of 23628 and 23639?

We will first find the prime factorization of 23628 and 23639. After we will calculate the factors of 23628 and 23639 and find the biggest common factor number .

Step-1: Prime Factorization of 23628

Prime factors of 23628 are 2, 3, 11, 179. Prime factorization of 23628 in exponential form is:

23628 = 2² × 3¹ × 11¹ × 179¹

Step-2: Prime Factorization of 23639

Prime factors of 23639 are 7, 11, 307. Prime factorization of 23639 in exponential form is:

23639 = 7¹ × 11¹ × 307¹

Step-3: Factors of 23628

List of positive integer factors of 23628 that divides 23628 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132, 179, 358, 537, 716, 1074, 1969, 2148, 3938, 5907, 7876, 11814

Step-4: Factors of 23639

List of positive integer factors of 23639 that divides 23628 without a remainder.

1, 7, 11, 77, 307, 2149, 3377

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23628 and 23639. The biggest common factor number is the GCF number.
So the greatest common factor 23628 and 23639 is 11.

Also check out the Least Common Multiple of 23628 and 23639