What is the Greatest Common Factor of 8925 and 8932?

Greatest common factor (GCF) of 8925 and 8932 is 7.

GCF(8925,8932) = 7

We will now calculate the prime factors of 8925 and 8932, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8925 and 8932.

How to find the GCF of 8925 and 8932?

We will first find the prime factorization of 8925 and 8932. After we will calculate the factors of 8925 and 8932 and find the biggest common factor number .

Step-1: Prime Factorization of 8925

Prime factors of 8925 are 3, 5, 7, 17. Prime factorization of 8925 in exponential form is:

8925 = 3¹ × 5² × 7¹ × 17¹

Step-2: Prime Factorization of 8932

Prime factors of 8932 are 2, 7, 11, 29. Prime factorization of 8932 in exponential form is:

8932 = 2² × 7¹ × 11¹ × 29¹

Step-3: Factors of 8925

List of positive integer factors of 8925 that divides 8925 without a remainder.

1, 3, 5, 7, 15, 17, 21, 25, 35, 51, 75, 85, 105, 119, 175, 255, 357, 425, 525, 595, 1275, 1785, 2975

Step-4: Factors of 8932

List of positive integer factors of 8932 that divides 8925 without a remainder.

1, 2, 4, 7, 11, 14, 22, 28, 29, 44, 58, 77, 116, 154, 203, 308, 319, 406, 638, 812, 1276, 2233, 4466

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8925 and 8932. The biggest common factor number is the GCF number.
So the greatest common factor 8925 and 8932 is 7.

Also check out the Least Common Multiple of 8925 and 8932