What is the Greatest Common Factor of 28639 and 28652?

Greatest common factor (GCF) of 28639 and 28652 is 13.

GCF(28639,28652) = 13

We will now calculate the prime factors of 28639 and 28652, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28639 and 28652.

How to find the GCF of 28639 and 28652?

We will first find the prime factorization of 28639 and 28652. After we will calculate the factors of 28639 and 28652 and find the biggest common factor number .

Step-1: Prime Factorization of 28639

Prime factors of 28639 are 13, 2203. Prime factorization of 28639 in exponential form is:

28639 = 13¹ × 2203¹

Step-2: Prime Factorization of 28652

Prime factors of 28652 are 2, 13, 19, 29. Prime factorization of 28652 in exponential form is:

28652 = 2² × 13¹ × 19¹ × 29¹

Step-3: Factors of 28639

List of positive integer factors of 28639 that divides 28639 without a remainder.

1, 13, 2203

Step-4: Factors of 28652

List of positive integer factors of 28652 that divides 28639 without a remainder.

1, 2, 4, 13, 19, 26, 29, 38, 52, 58, 76, 116, 247, 377, 494, 551, 754, 988, 1102, 1508, 2204, 7163, 14326

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28639 and 28652. The biggest common factor number is the GCF number.
So the greatest common factor 28639 and 28652 is 13.

Also check out the Least Common Multiple of 28639 and 28652