What is the Greatest Common Factor of 6048 and 6062?

Greatest common factor (GCF) of 6048 and 6062 is 14.

GCF(6048,6062) = 14

We will now calculate the prime factors of 6048 and 6062, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6048 and 6062.

How to find the GCF of 6048 and 6062?

We will first find the prime factorization of 6048 and 6062. After we will calculate the factors of 6048 and 6062 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 6062

Prime factors of 6062 are 2, 7, 433. Prime factorization of 6062 in exponential form is:

6062 = 2¹ × 7¹ × 433¹

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 6062

List of positive integer factors of 6062 that divides 6048 without a remainder.

1, 2, 7, 14, 433, 866, 3031

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6048 and 6062. The biggest common factor number is the GCF number.
So the greatest common factor 6048 and 6062 is 14.

Also check out the Least Common Multiple of 6048 and 6062