What is the Greatest Common Factor of 22628 and 22648?

Greatest common factor (GCF) of 22628 and 22648 is 4.

GCF(22628,22648) = 4

We will now calculate the prime factors of 22628 and 22648, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22628 and 22648.

How to find the GCF of 22628 and 22648?

We will first find the prime factorization of 22628 and 22648. After we will calculate the factors of 22628 and 22648 and find the biggest common factor number .

Step-1: Prime Factorization of 22628

Prime factors of 22628 are 2, 5657. Prime factorization of 22628 in exponential form is:

22628 = 2² × 5657¹

Step-2: Prime Factorization of 22648

Prime factors of 22648 are 2, 19, 149. Prime factorization of 22648 in exponential form is:

22648 = 2³ × 19¹ × 149¹

Step-3: Factors of 22628

List of positive integer factors of 22628 that divides 22628 without a remainder.

1, 2, 4, 5657, 11314

Step-4: Factors of 22648

List of positive integer factors of 22648 that divides 22628 without a remainder.

1, 2, 4, 8, 19, 38, 76, 149, 152, 298, 596, 1192, 2831, 5662, 11324

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22628 and 22648. The biggest common factor number is the GCF number.
So the greatest common factor 22628 and 22648 is 4.

Also check out the Least Common Multiple of 22628 and 22648