What is the Greatest Common Factor of 22456 and 22470?

Greatest common factor (GCF) of 22456 and 22470 is 14.

GCF(22456,22470) = 14

We will now calculate the prime factors of 22456 and 22470, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22456 and 22470.

How to find the GCF of 22456 and 22470?

We will first find the prime factorization of 22456 and 22470. After we will calculate the factors of 22456 and 22470 and find the biggest common factor number .

Step-1: Prime Factorization of 22456

Prime factors of 22456 are 2, 7, 401. Prime factorization of 22456 in exponential form is:

22456 = 2³ × 7¹ × 401¹

Step-2: 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-3: Factors of 22456

List of positive integer factors of 22456 that divides 22456 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 401, 802, 1604, 2807, 3208, 5614, 11228

Step-4: Factors of 22470

List of positive integer factors of 22470 that divides 22456 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22456 and 22470. The biggest common factor number is the GCF number.
So the greatest common factor 22456 and 22470 is 14.

Also check out the Least Common Multiple of 22456 and 22470