What is the Greatest Common Factor of 6050 and 6061?

Greatest common factor (GCF) of 6050 and 6061 is 11.

GCF(6050,6061) = 11

We will now calculate the prime factors of 6050 and 6061, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6050 and 6061.

How to find the GCF of 6050 and 6061?

We will first find the prime factorization of 6050 and 6061. After we will calculate the factors of 6050 and 6061 and find the biggest common factor number .

Step-1: Prime Factorization of 6050

Prime factors of 6050 are 2, 5, 11. Prime factorization of 6050 in exponential form is:

6050 = 2¹ × 5² × 11²

Step-2: 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-3: Factors of 6050

List of positive integer factors of 6050 that divides 6050 without a remainder.

1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 121, 242, 275, 550, 605, 1210, 3025

Step-4: Factors of 6061

List of positive integer factors of 6061 that divides 6050 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6050 and 6061. The biggest common factor number is the GCF number.
So the greatest common factor 6050 and 6061 is 11.

Also check out the Least Common Multiple of 6050 and 6061