What is the Greatest Common Factor of 22925 and 22932?

Greatest common factor (GCF) of 22925 and 22932 is 7.

GCF(22925,22932) = 7

We will now calculate the prime factors of 22925 and 22932, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22925 and 22932.

How to find the GCF of 22925 and 22932?

We will first find the prime factorization of 22925 and 22932. After we will calculate the factors of 22925 and 22932 and find the biggest common factor number .

Step-1: Prime Factorization of 22925

Prime factors of 22925 are 5, 7, 131. Prime factorization of 22925 in exponential form is:

22925 = 5² × 7¹ × 131¹

Step-2: 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-3: Factors of 22925

List of positive integer factors of 22925 that divides 22925 without a remainder.

1, 5, 7, 25, 35, 131, 175, 655, 917, 3275, 4585

Step-4: Factors of 22932

List of positive integer factors of 22932 that divides 22925 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22925 and 22932. The biggest common factor number is the GCF number.
So the greatest common factor 22925 and 22932 is 7.

Also check out the Least Common Multiple of 22925 and 22932