What is the Greatest Common Factor of 62070 and 62085?

Greatest common factor (GCF) of 62070 and 62085 is 15.

GCF(62070,62085) = 15

We will now calculate the prime factors of 62070 and 62085, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62070 and 62085.

How to find the GCF of 62070 and 62085?

We will first find the prime factorization of 62070 and 62085. After we will calculate the factors of 62070 and 62085 and find the biggest common factor number .

Step-1: Prime Factorization of 62070

Prime factors of 62070 are 2, 3, 5, 2069. Prime factorization of 62070 in exponential form is:

62070 = 2¹ × 3¹ × 5¹ × 2069¹

Step-2: Prime Factorization of 62085

Prime factors of 62085 are 3, 5, 4139. Prime factorization of 62085 in exponential form is:

62085 = 3¹ × 5¹ × 4139¹

Step-3: Factors of 62070

List of positive integer factors of 62070 that divides 62070 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 2069, 4138, 6207, 10345, 12414, 20690, 31035

Step-4: Factors of 62085

List of positive integer factors of 62085 that divides 62070 without a remainder.

1, 3, 5, 15, 4139, 12417, 20695

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62070 and 62085. The biggest common factor number is the GCF number.
So the greatest common factor 62070 and 62085 is 15.

Also check out the Least Common Multiple of 62070 and 62085