What is the Greatest Common Factor of 6052 and 6067?

Greatest common factor (GCF) of 6052 and 6067 is 1.

GCF(6052,6067) = 1

We will now calculate the prime factors of 6052 and 6067, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6052 and 6067.

How to find the GCF of 6052 and 6067?

We will first find the prime factorization of 6052 and 6067. After we will calculate the factors of 6052 and 6067 and find the biggest common factor number .

Step-1: Prime Factorization of 6052

Prime factors of 6052 are 2, 17, 89. Prime factorization of 6052 in exponential form is:

6052 = 2² × 17¹ × 89¹

Step-2: Prime Factorization of 6067

Prime factors of 6067 are 6067. Prime factorization of 6067 in exponential form is:

6067 = 6067¹

Step-3: Factors of 6052

List of positive integer factors of 6052 that divides 6052 without a remainder.

1, 2, 4, 17, 34, 68, 89, 178, 356, 1513, 3026

Step-4: Factors of 6067

List of positive integer factors of 6067 that divides 6052 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6052 and 6067. The biggest common factor number is the GCF number.
So the greatest common factor 6052 and 6067 is 1.

Also check out the Least Common Multiple of 6052 and 6067