What is the Greatest Common Factor of 22945 and 22961?

Greatest common factor (GCF) of 22945 and 22961 is 1.

GCF(22945,22961) = 1

We will now calculate the prime factors of 22945 and 22961, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22945 and 22961.

How to find the GCF of 22945 and 22961?

We will first find the prime factorization of 22945 and 22961. After we will calculate the factors of 22945 and 22961 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 22961

Prime factors of 22961 are 22961. Prime factorization of 22961 in exponential form is:

22961 = 22961¹

Step-3: Factors of 22945

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

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

Step-4: Factors of 22961

List of positive integer factors of 22961 that divides 22945 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22945 and 22961. The biggest common factor number is the GCF number.
So the greatest common factor 22945 and 22961 is 1.

Also check out the Least Common Multiple of 22945 and 22961