What is the Greatest Common Factor of 22479 and 22485?

Greatest common factor (GCF) of 22479 and 22485 is 3.

GCF(22479,22485) = 3

We will now calculate the prime factors of 22479 and 22485, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22479 and 22485.

How to find the GCF of 22479 and 22485?

We will first find the prime factorization of 22479 and 22485. After we will calculate the factors of 22479 and 22485 and find the biggest common factor number .

Step-1: Prime Factorization of 22479

Prime factors of 22479 are 3, 59, 127. Prime factorization of 22479 in exponential form is:

22479 = 3¹ × 59¹ × 127¹

Step-2: Prime Factorization of 22485

Prime factors of 22485 are 3, 5, 1499. Prime factorization of 22485 in exponential form is:

22485 = 3¹ × 5¹ × 1499¹

Step-3: Factors of 22479

List of positive integer factors of 22479 that divides 22479 without a remainder.

1, 3, 59, 127, 177, 381, 7493

Step-4: Factors of 22485

List of positive integer factors of 22485 that divides 22479 without a remainder.

1, 3, 5, 15, 1499, 4497, 7495

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22479 and 22485. The biggest common factor number is the GCF number.
So the greatest common factor 22479 and 22485 is 3.

Also check out the Least Common Multiple of 22479 and 22485