What is the Greatest Common Factor of 22912 and 22925?

Greatest common factor (GCF) of 22912 and 22925 is 1.

GCF(22912,22925) = 1

We will now calculate the prime factors of 22912 and 22925, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22912 and 22925.

How to find the GCF of 22912 and 22925?

We will first find the prime factorization of 22912 and 22925. After we will calculate the factors of 22912 and 22925 and find the biggest common factor number .

Step-1: Prime Factorization of 22912

Prime factors of 22912 are 2, 179. Prime factorization of 22912 in exponential form is:

22912 = 2⁷ × 179¹

Step-2: 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-3: Factors of 22912

List of positive integer factors of 22912 that divides 22912 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 179, 358, 716, 1432, 2864, 5728, 11456

Step-4: Factors of 22925

List of positive integer factors of 22925 that divides 22912 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22912 and 22925. The biggest common factor number is the GCF number.
So the greatest common factor 22912 and 22925 is 1.

Also check out the Least Common Multiple of 22912 and 22925