What is the Greatest Common Factor of 22460 and 22465?

Greatest common factor (GCF) of 22460 and 22465 is 5.

GCF(22460,22465) = 5

We will now calculate the prime factors of 22460 and 22465, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22460 and 22465.

How to find the GCF of 22460 and 22465?

We will first find the prime factorization of 22460 and 22465. After we will calculate the factors of 22460 and 22465 and find the biggest common factor number .

Step-1: Prime Factorization of 22460

Prime factors of 22460 are 2, 5, 1123. Prime factorization of 22460 in exponential form is:

22460 = 2² × 5¹ × 1123¹

Step-2: Prime Factorization of 22465

Prime factors of 22465 are 5, 4493. Prime factorization of 22465 in exponential form is:

22465 = 5¹ × 4493¹

Step-3: Factors of 22460

List of positive integer factors of 22460 that divides 22460 without a remainder.

1, 2, 4, 5, 10, 20, 1123, 2246, 4492, 5615, 11230

Step-4: Factors of 22465

List of positive integer factors of 22465 that divides 22460 without a remainder.

1, 5, 4493

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22460 and 22465. The biggest common factor number is the GCF number.
So the greatest common factor 22460 and 22465 is 5.

Also check out the Least Common Multiple of 22460 and 22465