What is the Greatest Common Factor of 6030 and 6048?

Greatest common factor (GCF) of 6030 and 6048 is 18.

GCF(6030,6048) = 18

We will now calculate the prime factors of 6030 and 6048, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6030 and 6048.

How to find the GCF of 6030 and 6048?

We will first find the prime factorization of 6030 and 6048. After we will calculate the factors of 6030 and 6048 and find the biggest common factor number .

Step-1: Prime Factorization of 6030

Prime factors of 6030 are 2, 3, 5, 67. Prime factorization of 6030 in exponential form is:

6030 = 2¹ × 3² × 5¹ × 67¹

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 6030

List of positive integer factors of 6030 that divides 6030 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 67, 90, 134, 201, 335, 402, 603, 670, 1005, 1206, 2010, 3015

Step-4: Factors of 6048

List of positive integer factors of 6048 that divides 6030 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 6030 and 6048. The biggest common factor number is the GCF number.
So the greatest common factor 6030 and 6048 is 18.

Also check out the Least Common Multiple of 6030 and 6048