What is the Greatest Common Factor of 6069 and 6080?

Greatest common factor (GCF) of 6069 and 6080 is 1.

GCF(6069,6080) = 1

We will now calculate the prime factors of 6069 and 6080, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6069 and 6080.

How to find the GCF of 6069 and 6080?

We will first find the prime factorization of 6069 and 6080. After we will calculate the factors of 6069 and 6080 and find the biggest common factor number .

Step-1: Prime Factorization of 6069

Prime factors of 6069 are 3, 7, 17. Prime factorization of 6069 in exponential form is:

6069 = 3¹ × 7¹ × 17²

Step-2: Prime Factorization of 6080

Prime factors of 6080 are 2, 5, 19. Prime factorization of 6080 in exponential form is:

6080 = 2⁶ × 5¹ × 19¹

Step-3: Factors of 6069

List of positive integer factors of 6069 that divides 6069 without a remainder.

1, 3, 7, 17, 21, 51, 119, 289, 357, 867, 2023

Step-4: Factors of 6080

List of positive integer factors of 6080 that divides 6069 without a remainder.

1, 2, 4, 5, 8, 10, 16, 19, 20, 32, 38, 40, 64, 76, 80, 95, 152, 160, 190, 304, 320, 380, 608, 760, 1216, 1520, 3040

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6069 and 6080. The biggest common factor number is the GCF number.
So the greatest common factor 6069 and 6080 is 1.

Also check out the Least Common Multiple of 6069 and 6080