What is the Greatest Common Factor of 6048 and 6067?

Greatest common factor (GCF) of 6048 and 6067 is 1.

GCF(6048,6067) = 1

We will now calculate the prime factors of 6048 and 6067, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6048 and 6067.

How to find the GCF of 6048 and 6067?

We will first find the prime factorization of 6048 and 6067. After we will calculate the factors of 6048 and 6067 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 6067

Prime factors of 6067 are 6067. Prime factorization of 6067 in exponential form is:

6067 = 6067¹

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 6067

List of positive integer factors of 6067 that divides 6048 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6048 and 6067. The biggest common factor number is the GCF number.
So the greatest common factor 6048 and 6067 is 1.

Also check out the Least Common Multiple of 6048 and 6067