What is the Greatest Common Factor of 22648 and 22658?

Greatest common factor (GCF) of 22648 and 22658 is 2.

GCF(22648,22658) = 2

We will now calculate the prime factors of 22648 and 22658, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22648 and 22658.

How to find the GCF of 22648 and 22658?

We will first find the prime factorization of 22648 and 22658. After we will calculate the factors of 22648 and 22658 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 22658

Prime factors of 22658 are 2, 11329. Prime factorization of 22658 in exponential form is:

22658 = 2¹ × 11329¹

Step-3: Factors of 22648

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

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

Step-4: Factors of 22658

List of positive integer factors of 22658 that divides 22648 without a remainder.

1, 2, 11329

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22648 and 22658. The biggest common factor number is the GCF number.
So the greatest common factor 22648 and 22658 is 2.

Also check out the Least Common Multiple of 22648 and 22658