What is the Greatest Common Factor of 22470 and 22486?

Greatest common factor (GCF) of 22470 and 22486 is 2.

GCF(22470,22486) = 2

We will now calculate the prime factors of 22470 and 22486, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22470 and 22486.

How to find the GCF of 22470 and 22486?

We will first find the prime factorization of 22470 and 22486. After we will calculate the factors of 22470 and 22486 and find the biggest common factor number .

Step-1: Prime Factorization of 22470

Prime factors of 22470 are 2, 3, 5, 7, 107. Prime factorization of 22470 in exponential form is:

22470 = 2¹ × 3¹ × 5¹ × 7¹ × 107¹

Step-2: Prime Factorization of 22486

Prime factors of 22486 are 2, 11243. Prime factorization of 22486 in exponential form is:

22486 = 2¹ × 11243¹

Step-3: Factors of 22470

List of positive integer factors of 22470 that divides 22470 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 107, 210, 214, 321, 535, 642, 749, 1070, 1498, 1605, 2247, 3210, 3745, 4494, 7490, 11235

Step-4: Factors of 22486

List of positive integer factors of 22486 that divides 22470 without a remainder.

1, 2, 11243

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22470 and 22486. The biggest common factor number is the GCF number.
So the greatest common factor 22470 and 22486 is 2.

Also check out the Least Common Multiple of 22470 and 22486