What is the Greatest Common Factor of 14464 and 14470?

Greatest common factor (GCF) of 14464 and 14470 is 2.

GCF(14464,14470) = 2

We will now calculate the prime factors of 14464 and 14470, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14464 and 14470.

How to find the GCF of 14464 and 14470?

We will first find the prime factorization of 14464 and 14470. After we will calculate the factors of 14464 and 14470 and find the biggest common factor number .

Step-1: Prime Factorization of 14464

Prime factors of 14464 are 2, 113. Prime factorization of 14464 in exponential form is:

14464 = 2⁷ × 113¹

Step-2: Prime Factorization of 14470

Prime factors of 14470 are 2, 5, 1447. Prime factorization of 14470 in exponential form is:

14470 = 2¹ × 5¹ × 1447¹

Step-3: Factors of 14464

List of positive integer factors of 14464 that divides 14464 without a remainder.

1, 2, 4, 8, 16, 32, 64, 113, 128, 226, 452, 904, 1808, 3616, 7232

Step-4: Factors of 14470

List of positive integer factors of 14470 that divides 14464 without a remainder.

1, 2, 5, 10, 1447, 2894, 7235

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14464 and 14470. The biggest common factor number is the GCF number.
So the greatest common factor 14464 and 14470 is 2.

Also check out the Least Common Multiple of 14464 and 14470