What is the Greatest Common Factor of 6048 and 6053?

Greatest common factor (GCF) of 6048 and 6053 is 1.

GCF(6048,6053) = 1

We will now calculate the prime factors of 6048 and 6053, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6048 and 6053.

How to find the GCF of 6048 and 6053?

We will first find the prime factorization of 6048 and 6053. After we will calculate the factors of 6048 and 6053 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 6053

Prime factors of 6053 are 6053. Prime factorization of 6053 in exponential form is:

6053 = 6053¹

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 6053

List of positive integer factors of 6053 that divides 6048 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6048 and 6053. The biggest common factor number is the GCF number.
So the greatest common factor 6048 and 6053 is 1.

Also check out the Least Common Multiple of 6048 and 6053