What is the Greatest Common Factor of 22925 and 22945?

Greatest common factor (GCF) of 22925 and 22945 is 5.

GCF(22925,22945) = 5

We will now calculate the prime factors of 22925 and 22945, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22925 and 22945.

How to find the GCF of 22925 and 22945?

We will first find the prime factorization of 22925 and 22945. After we will calculate the factors of 22925 and 22945 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 22945

Prime factors of 22945 are 5, 13, 353. Prime factorization of 22945 in exponential form is:

22945 = 5¹ × 13¹ × 353¹

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 22945

List of positive integer factors of 22945 that divides 22925 without a remainder.

1, 5, 13, 65, 353, 1765, 4589

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22925 and 22945. The biggest common factor number is the GCF number.
So the greatest common factor 22925 and 22945 is 5.

Also check out the Least Common Multiple of 22925 and 22945