What is the Greatest Common Factor of 6060 and 6070?

Greatest common factor (GCF) of 6060 and 6070 is 10.

GCF(6060,6070) = 10

We will now calculate the prime factors of 6060 and 6070, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6060 and 6070.

How to find the GCF of 6060 and 6070?

We will first find the prime factorization of 6060 and 6070. After we will calculate the factors of 6060 and 6070 and find the biggest common factor number .

Step-1: Prime Factorization of 6060

Prime factors of 6060 are 2, 3, 5, 101. Prime factorization of 6060 in exponential form is:

6060 = 2² × 3¹ × 5¹ × 101¹

Step-2: Prime Factorization of 6070

Prime factors of 6070 are 2, 5, 607. Prime factorization of 6070 in exponential form is:

6070 = 2¹ × 5¹ × 607¹

Step-3: Factors of 6060

List of positive integer factors of 6060 that divides 6060 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 101, 202, 303, 404, 505, 606, 1010, 1212, 1515, 2020, 3030

Step-4: Factors of 6070

List of positive integer factors of 6070 that divides 6060 without a remainder.

1, 2, 5, 10, 607, 1214, 3035

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6060 and 6070. The biggest common factor number is the GCF number.
So the greatest common factor 6060 and 6070 is 10.

Also check out the Least Common Multiple of 6060 and 6070