What is the Greatest Common Factor of 22395 and 22410?

Greatest common factor (GCF) of 22395 and 22410 is 15.

GCF(22395,22410) = 15

We will now calculate the prime factors of 22395 and 22410, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22395 and 22410.

How to find the GCF of 22395 and 22410?

We will first find the prime factorization of 22395 and 22410. After we will calculate the factors of 22395 and 22410 and find the biggest common factor number .

Step-1: Prime Factorization of 22395

Prime factors of 22395 are 3, 5, 1493. Prime factorization of 22395 in exponential form is:

22395 = 3¹ × 5¹ × 1493¹

Step-2: Prime Factorization of 22410

Prime factors of 22410 are 2, 3, 5, 83. Prime factorization of 22410 in exponential form is:

22410 = 2¹ × 3³ × 5¹ × 83¹

Step-3: Factors of 22395

List of positive integer factors of 22395 that divides 22395 without a remainder.

1, 3, 5, 15, 1493, 4479, 7465

Step-4: Factors of 22410

List of positive integer factors of 22410 that divides 22395 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 83, 90, 135, 166, 249, 270, 415, 498, 747, 830, 1245, 1494, 2241, 2490, 3735, 4482, 7470, 11205

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22395 and 22410. The biggest common factor number is the GCF number.
So the greatest common factor 22395 and 22410 is 15.

Also check out the Least Common Multiple of 22395 and 22410