What is the Greatest Common Factor of 18816 and 18825?

Greatest common factor (GCF) of 18816 and 18825 is 3.

GCF(18816,18825) = 3

We will now calculate the prime factors of 18816 and 18825, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18816 and 18825.

How to find the GCF of 18816 and 18825?

We will first find the prime factorization of 18816 and 18825. After we will calculate the factors of 18816 and 18825 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 18825

Prime factors of 18825 are 3, 5, 251. Prime factorization of 18825 in exponential form is:

18825 = 3¹ × 5² × 251¹

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 18825

List of positive integer factors of 18825 that divides 18816 without a remainder.

1, 3, 5, 15, 25, 75, 251, 753, 1255, 3765, 6275

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18816 and 18825. The biggest common factor number is the GCF number.
So the greatest common factor 18816 and 18825 is 3.

Also check out the Least Common Multiple of 18816 and 18825