What is the Greatest Common Factor of 6048 and 6063?

Greatest common factor (GCF) of 6048 and 6063 is 3.

GCF(6048,6063) = 3

We will now calculate the prime factors of 6048 and 6063, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6048 and 6063.

How to find the GCF of 6048 and 6063?

We will first find the prime factorization of 6048 and 6063. After we will calculate the factors of 6048 and 6063 and find the biggest common factor number .

Step-1: Prime Factorization of 6048

Prime factors of 6048 are 2, 3, 7. Prime factorization of 6048 in exponential form is:

6048 = 2⁵ × 3³ × 7¹

Step-2: Prime Factorization of 6063

Prime factors of 6063 are 3, 43, 47. Prime factorization of 6063 in exponential form is:

6063 = 3¹ × 43¹ × 47¹

Step-3: Factors of 6048

List of positive integer factors of 6048 that divides 6048 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 27, 28, 32, 36, 42, 48, 54, 56, 63, 72, 84, 96, 108, 112, 126, 144, 168, 189, 216, 224, 252, 288, 336, 378, 432, 504, 672, 756, 864, 1008, 1512, 2016, 3024

Step-4: Factors of 6063

List of positive integer factors of 6063 that divides 6048 without a remainder.

1, 3, 43, 47, 129, 141, 2021

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6048 and 6063. The biggest common factor number is the GCF number.
So the greatest common factor 6048 and 6063 is 3.

Also check out the Least Common Multiple of 6048 and 6063