What is the Greatest Common Factor of 6048 and 6064?

Greatest common factor (GCF) of 6048 and 6064 is 16.

GCF(6048,6064) = 16

We will now calculate the prime factors of 6048 and 6064, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6048 and 6064.

How to find the GCF of 6048 and 6064?

We will first find the prime factorization of 6048 and 6064. After we will calculate the factors of 6048 and 6064 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 6064

Prime factors of 6064 are 2, 379. Prime factorization of 6064 in exponential form is:

6064 = 2⁴ × 379¹

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 6064

List of positive integer factors of 6064 that divides 6048 without a remainder.

1, 2, 4, 8, 16, 379, 758, 1516, 3032

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6048 and 6064. The biggest common factor number is the GCF number.
So the greatest common factor 6048 and 6064 is 16.

Also check out the Least Common Multiple of 6048 and 6064