What is the Greatest Common Factor of 18816 and 18828?

Greatest common factor (GCF) of 18816 and 18828 is 12.

GCF(18816,18828) = 12

We will now calculate the prime factors of 18816 and 18828, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18816 and 18828.

How to find the GCF of 18816 and 18828?

We will first find the prime factorization of 18816 and 18828. After we will calculate the factors of 18816 and 18828 and find the biggest common factor number .

Step-1: Prime Factorization of 18816

Prime factors of 18816 are 2, 3, 7. Prime factorization of 18816 in exponential form is:

18816 = 2⁷ × 3¹ × 7²

Step-2: Prime Factorization of 18828

Prime factors of 18828 are 2, 3, 523. Prime factorization of 18828 in exponential form is:

18828 = 2² × 3² × 523¹

Step-3: Factors of 18816

List of positive integer factors of 18816 that divides 18816 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 49, 56, 64, 84, 96, 98, 112, 128, 147, 168, 192, 196, 224, 294, 336, 384, 392, 448, 588, 672, 784, 896, 1176, 1344, 1568, 2352, 2688, 3136, 4704, 6272, 9408

Step-4: Factors of 18828

List of positive integer factors of 18828 that divides 18816 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 523, 1046, 1569, 2092, 3138, 4707, 6276, 9414

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18816 and 18828. The biggest common factor number is the GCF number.
So the greatest common factor 18816 and 18828 is 12.

Also check out the Least Common Multiple of 18816 and 18828