What is the Greatest Common Factor of 22463 and 22470?

Greatest common factor (GCF) of 22463 and 22470 is 7.

GCF(22463,22470) = 7

We will now calculate the prime factors of 22463 and 22470, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22463 and 22470.

How to find the GCF of 22463 and 22470?

We will first find the prime factorization of 22463 and 22470. After we will calculate the factors of 22463 and 22470 and find the biggest common factor number .

Step-1: Prime Factorization of 22463

Prime factors of 22463 are 7, 3209. Prime factorization of 22463 in exponential form is:

22463 = 7¹ × 3209¹

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 22463

List of positive integer factors of 22463 that divides 22463 without a remainder.

1, 7, 3209

Step-4: Factors of 22470

List of positive integer factors of 22470 that divides 22463 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 22463 and 22470. The biggest common factor number is the GCF number.
So the greatest common factor 22463 and 22470 is 7.

Also check out the Least Common Multiple of 22463 and 22470