What is the Greatest Common Factor of 14464 and 14479?

Greatest common factor (GCF) of 14464 and 14479 is 1.

GCF(14464,14479) = 1

We will now calculate the prime factors of 14464 and 14479, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14464 and 14479.

How to find the GCF of 14464 and 14479?

We will first find the prime factorization of 14464 and 14479. After we will calculate the factors of 14464 and 14479 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 14479

Prime factors of 14479 are 14479. Prime factorization of 14479 in exponential form is:

14479 = 14479¹

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 14479

List of positive integer factors of 14479 that divides 14464 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14464 and 14479. The biggest common factor number is the GCF number.
So the greatest common factor 14464 and 14479 is 1.

Also check out the Least Common Multiple of 14464 and 14479