What is the Greatest Common Factor of 13628 and 13636?

Greatest common factor (GCF) of 13628 and 13636 is 4.

GCF(13628,13636) = 4

We will now calculate the prime factors of 13628 and 13636, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13628 and 13636.

How to find the GCF of 13628 and 13636?

We will first find the prime factorization of 13628 and 13636. After we will calculate the factors of 13628 and 13636 and find the biggest common factor number .

Step-1: Prime Factorization of 13628

Prime factors of 13628 are 2, 3407. Prime factorization of 13628 in exponential form is:

13628 = 2² × 3407¹

Step-2: Prime Factorization of 13636

Prime factors of 13636 are 2, 7, 487. Prime factorization of 13636 in exponential form is:

13636 = 2² × 7¹ × 487¹

Step-3: Factors of 13628

List of positive integer factors of 13628 that divides 13628 without a remainder.

1, 2, 4, 3407, 6814

Step-4: Factors of 13636

List of positive integer factors of 13636 that divides 13628 without a remainder.

1, 2, 4, 7, 14, 28, 487, 974, 1948, 3409, 6818

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13628 and 13636. The biggest common factor number is the GCF number.
So the greatest common factor 13628 and 13636 is 4.

Also check out the Least Common Multiple of 13628 and 13636