What is the Greatest Common Factor of 22932 and 22948?

Greatest common factor (GCF) of 22932 and 22948 is 4.

GCF(22932,22948) = 4

We will now calculate the prime factors of 22932 and 22948, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22932 and 22948.

How to find the GCF of 22932 and 22948?

We will first find the prime factorization of 22932 and 22948. After we will calculate the factors of 22932 and 22948 and find the biggest common factor number .

Step-1: Prime Factorization of 22932

Prime factors of 22932 are 2, 3, 7, 13. Prime factorization of 22932 in exponential form is:

22932 = 2² × 3² × 7² × 13¹

Step-2: Prime Factorization of 22948

Prime factors of 22948 are 2, 5737. Prime factorization of 22948 in exponential form is:

22948 = 2² × 5737¹

Step-3: Factors of 22932

List of positive integer factors of 22932 that divides 22932 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 13, 14, 18, 21, 26, 28, 36, 39, 42, 49, 52, 63, 78, 84, 91, 98, 117, 126, 147, 156, 182, 196, 234, 252, 273, 294, 364, 441, 468, 546, 588, 637, 819, 882, 1092, 1274, 1638, 1764, 1911, 2548, 3276, 3822, 5733, 7644, 11466

Step-4: Factors of 22948

List of positive integer factors of 22948 that divides 22932 without a remainder.

1, 2, 4, 5737, 11474

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22932 and 22948. The biggest common factor number is the GCF number.
So the greatest common factor 22932 and 22948 is 4.

Also check out the Least Common Multiple of 22932 and 22948