What is the Greatest Common Factor of 6061 and 6080?

Greatest common factor (GCF) of 6061 and 6080 is 19.

GCF(6061,6080) = 19

We will now calculate the prime factors of 6061 and 6080, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6061 and 6080.

How to find the GCF of 6061 and 6080?

We will first find the prime factorization of 6061 and 6080. After we will calculate the factors of 6061 and 6080 and find the biggest common factor number .

Step-1: Prime Factorization of 6061

Prime factors of 6061 are 11, 19, 29. Prime factorization of 6061 in exponential form is:

6061 = 11¹ × 19¹ × 29¹

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 6061

List of positive integer factors of 6061 that divides 6061 without a remainder.

1, 11, 19, 29, 209, 319, 551

Step-4: Factors of 6080

List of positive integer factors of 6080 that divides 6061 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 6061 and 6080. The biggest common factor number is the GCF number.
So the greatest common factor 6061 and 6080 is 19.

Also check out the Least Common Multiple of 6061 and 6080