What is the Greatest Common Factor of 8904 and 8924?

Greatest common factor (GCF) of 8904 and 8924 is 4.

GCF(8904,8924) = 4

We will now calculate the prime factors of 8904 and 8924, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8904 and 8924.

How to find the GCF of 8904 and 8924?

We will first find the prime factorization of 8904 and 8924. After we will calculate the factors of 8904 and 8924 and find the biggest common factor number .

Step-1: Prime Factorization of 8904

Prime factors of 8904 are 2, 3, 7, 53. Prime factorization of 8904 in exponential form is:

8904 = 2³ × 3¹ × 7¹ × 53¹

Step-2: Prime Factorization of 8924

Prime factors of 8924 are 2, 23, 97. Prime factorization of 8924 in exponential form is:

8924 = 2² × 23¹ × 97¹

Step-3: Factors of 8904

List of positive integer factors of 8904 that divides 8904 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 53, 56, 84, 106, 159, 168, 212, 318, 371, 424, 636, 742, 1113, 1272, 1484, 2226, 2968, 4452

Step-4: Factors of 8924

List of positive integer factors of 8924 that divides 8904 without a remainder.

1, 2, 4, 23, 46, 92, 97, 194, 388, 2231, 4462

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8904 and 8924. The biggest common factor number is the GCF number.
So the greatest common factor 8904 and 8924 is 4.

Also check out the Least Common Multiple of 8904 and 8924