What is the Greatest Common Factor of 62085 and 62100?

Greatest common factor (GCF) of 62085 and 62100 is 15.

GCF(62085,62100) = 15

We will now calculate the prime factors of 62085 and 62100, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62085 and 62100.

How to find the GCF of 62085 and 62100?

We will first find the prime factorization of 62085 and 62100. After we will calculate the factors of 62085 and 62100 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 62100

Prime factors of 62100 are 2, 3, 5, 23. Prime factorization of 62100 in exponential form is:

62100 = 2² × 3³ × 5² × 23¹

Step-3: Factors of 62085

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

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

Step-4: Factors of 62100

List of positive integer factors of 62100 that divides 62085 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 23, 25, 27, 30, 36, 45, 46, 50, 54, 60, 69, 75, 90, 92, 100, 108, 115, 135, 138, 150, 180, 207, 225, 230, 270, 276, 300, 345, 414, 450, 460, 540, 575, 621, 675, 690, 828, 900, 1035, 1150, 1242, 1350, 1380, 1725, 2070, 2300, 2484, 2700, 3105, 3450, 4140, 5175, 6210, 6900, 10350, 12420, 15525, 20700, 31050

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62085 and 62100. The biggest common factor number is the GCF number.
So the greatest common factor 62085 and 62100 is 15.

Also check out the Least Common Multiple of 62085 and 62100