What is the Greatest Common Factor of 14446 and 14464?

Greatest common factor (GCF) of 14446 and 14464 is 2.

GCF(14446,14464) = 2

We will now calculate the prime factors of 14446 and 14464, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14446 and 14464.

How to find the GCF of 14446 and 14464?

We will first find the prime factorization of 14446 and 14464. After we will calculate the factors of 14446 and 14464 and find the biggest common factor number .

Step-1: Prime Factorization of 14446

Prime factors of 14446 are 2, 31, 233. Prime factorization of 14446 in exponential form is:

14446 = 2¹ × 31¹ × 233¹

Step-2: Prime Factorization of 14464

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

14464 = 2⁷ × 113¹

Step-3: Factors of 14446

List of positive integer factors of 14446 that divides 14446 without a remainder.

1, 2, 31, 62, 233, 466, 7223

Step-4: Factors of 14464

List of positive integer factors of 14464 that divides 14446 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14446 and 14464. The biggest common factor number is the GCF number.
So the greatest common factor 14446 and 14464 is 2.

Also check out the Least Common Multiple of 14446 and 14464