What is the Greatest Common Factor of 6147 and 6153?

Greatest common factor (GCF) of 6147 and 6153 is 3.

GCF(6147,6153) = 3

We will now calculate the prime factors of 6147 and 6153, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6147 and 6153.

How to find the GCF of 6147 and 6153?

We will first find the prime factorization of 6147 and 6153. After we will calculate the factors of 6147 and 6153 and find the biggest common factor number .

Step-1: Prime Factorization of 6147

Prime factors of 6147 are 3, 683. Prime factorization of 6147 in exponential form is:

6147 = 3² × 683¹

Step-2: Prime Factorization of 6153

Prime factors of 6153 are 3, 7, 293. Prime factorization of 6153 in exponential form is:

6153 = 3¹ × 7¹ × 293¹

Step-3: Factors of 6147

List of positive integer factors of 6147 that divides 6147 without a remainder.

1, 3, 9, 683, 2049

Step-4: Factors of 6153

List of positive integer factors of 6153 that divides 6147 without a remainder.

1, 3, 7, 21, 293, 879, 2051

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6147 and 6153. The biggest common factor number is the GCF number.
So the greatest common factor 6147 and 6153 is 3.

Also check out the Least Common Multiple of 6147 and 6153