What is the Greatest Common Factor of 6032 and 6048?

Greatest common factor (GCF) of 6032 and 6048 is 16.

GCF(6032,6048) = 16

We will now calculate the prime factors of 6032 and 6048, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6032 and 6048.

How to find the GCF of 6032 and 6048?

We will first find the prime factorization of 6032 and 6048. After we will calculate the factors of 6032 and 6048 and find the biggest common factor number .

Step-1: Prime Factorization of 6032

Prime factors of 6032 are 2, 13, 29. Prime factorization of 6032 in exponential form is:

6032 = 2⁴ × 13¹ × 29¹

Step-2: 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-3: Factors of 6032

List of positive integer factors of 6032 that divides 6032 without a remainder.

1, 2, 4, 8, 13, 16, 26, 29, 52, 58, 104, 116, 208, 232, 377, 464, 754, 1508, 3016

Step-4: Factors of 6048

List of positive integer factors of 6048 that divides 6032 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6032 and 6048. The biggest common factor number is the GCF number.
So the greatest common factor 6032 and 6048 is 16.

Also check out the Least Common Multiple of 6032 and 6048