What is the Greatest Common Factor of 22925 and 22943?

Greatest common factor (GCF) of 22925 and 22943 is 1.

GCF(22925,22943) = 1

We will now calculate the prime factors of 22925 and 22943, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22925 and 22943.

How to find the GCF of 22925 and 22943?

We will first find the prime factorization of 22925 and 22943. After we will calculate the factors of 22925 and 22943 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 22943

Prime factors of 22943 are 22943. Prime factorization of 22943 in exponential form is:

22943 = 22943¹

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 22943

List of positive integer factors of 22943 that divides 22925 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22925 and 22943. The biggest common factor number is the GCF number.
So the greatest common factor 22925 and 22943 is 1.

Also check out the Least Common Multiple of 22925 and 22943