What is the Greatest Common Factor of 13622 and 13628?

Greatest common factor (GCF) of 13622 and 13628 is 2.

GCF(13622,13628) = 2

We will now calculate the prime factors of 13622 and 13628, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13622 and 13628.

How to find the GCF of 13622 and 13628?

We will first find the prime factorization of 13622 and 13628. After we will calculate the factors of 13622 and 13628 and find the biggest common factor number .

Step-1: Prime Factorization of 13622

Prime factors of 13622 are 2, 7, 139. Prime factorization of 13622 in exponential form is:

13622 = 2¹ × 7² × 139¹

Step-2: Prime Factorization of 13628

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

13628 = 2² × 3407¹

Step-3: Factors of 13622

List of positive integer factors of 13622 that divides 13622 without a remainder.

1, 2, 7, 14, 49, 98, 139, 278, 973, 1946, 6811

Step-4: Factors of 13628

List of positive integer factors of 13628 that divides 13622 without a remainder.

1, 2, 4, 3407, 6814

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13622 and 13628. The biggest common factor number is the GCF number.
So the greatest common factor 13622 and 13628 is 2.

Also check out the Least Common Multiple of 13622 and 13628