What is the Greatest Common Factor of 22705 and 22710?

Greatest common factor (GCF) of 22705 and 22710 is 5.

GCF(22705,22710) = 5

We will now calculate the prime factors of 22705 and 22710, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22705 and 22710.

How to find the GCF of 22705 and 22710?

We will first find the prime factorization of 22705 and 22710. After we will calculate the factors of 22705 and 22710 and find the biggest common factor number .

Step-1: Prime Factorization of 22705

Prime factors of 22705 are 5, 19, 239. Prime factorization of 22705 in exponential form is:

22705 = 5¹ × 19¹ × 239¹

Step-2: Prime Factorization of 22710

Prime factors of 22710 are 2, 3, 5, 757. Prime factorization of 22710 in exponential form is:

22710 = 2¹ × 3¹ × 5¹ × 757¹

Step-3: Factors of 22705

List of positive integer factors of 22705 that divides 22705 without a remainder.

1, 5, 19, 95, 239, 1195, 4541

Step-4: Factors of 22710

List of positive integer factors of 22710 that divides 22705 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 757, 1514, 2271, 3785, 4542, 7570, 11355

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22705 and 22710. The biggest common factor number is the GCF number.
So the greatest common factor 22705 and 22710 is 5.

Also check out the Least Common Multiple of 22705 and 22710