What is the Greatest Common Factor of 14616 and 14624?

Greatest common factor (GCF) of 14616 and 14624 is 8.

GCF(14616,14624) = 8

We will now calculate the prime factors of 14616 and 14624, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14616 and 14624.

How to find the GCF of 14616 and 14624?

We will first find the prime factorization of 14616 and 14624. After we will calculate the factors of 14616 and 14624 and find the biggest common factor number .

Step-1: Prime Factorization of 14616

Prime factors of 14616 are 2, 3, 7, 29. Prime factorization of 14616 in exponential form is:

14616 = 2³ × 3² × 7¹ × 29¹

Step-2: Prime Factorization of 14624

Prime factors of 14624 are 2, 457. Prime factorization of 14624 in exponential form is:

14624 = 2⁵ × 457¹

Step-3: Factors of 14616

List of positive integer factors of 14616 that divides 14616 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 29, 36, 42, 56, 58, 63, 72, 84, 87, 116, 126, 168, 174, 203, 232, 252, 261, 348, 406, 504, 522, 609, 696, 812, 1044, 1218, 1624, 1827, 2088, 2436, 3654, 4872, 7308

Step-4: Factors of 14624

List of positive integer factors of 14624 that divides 14616 without a remainder.

1, 2, 4, 8, 16, 32, 457, 914, 1828, 3656, 7312

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14616 and 14624. The biggest common factor number is the GCF number.
So the greatest common factor 14616 and 14624 is 8.

Also check out the Least Common Multiple of 14616 and 14624