What is the Greatest Common Factor of 8914 and 8925?

Greatest common factor (GCF) of 8914 and 8925 is 1.

GCF(8914,8925) = 1

We will now calculate the prime factors of 8914 and 8925, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8914 and 8925.

How to find the GCF of 8914 and 8925?

We will first find the prime factorization of 8914 and 8925. After we will calculate the factors of 8914 and 8925 and find the biggest common factor number .

Step-1: Prime Factorization of 8914

Prime factors of 8914 are 2, 4457. Prime factorization of 8914 in exponential form is:

8914 = 2¹ × 4457¹

Step-2: 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-3: Factors of 8914

List of positive integer factors of 8914 that divides 8914 without a remainder.

1, 2, 4457

Step-4: Factors of 8925

List of positive integer factors of 8925 that divides 8914 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8914 and 8925. The biggest common factor number is the GCF number.
So the greatest common factor 8914 and 8925 is 1.

Also check out the Least Common Multiple of 8914 and 8925