What is the Greatest Common Factor of 62100 and 62115?

Greatest common factor (GCF) of 62100 and 62115 is 15.

GCF(62100,62115) = 15

We will now calculate the prime factors of 62100 and 62115, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62100 and 62115.

How to find the GCF of 62100 and 62115?

We will first find the prime factorization of 62100 and 62115. After we will calculate the factors of 62100 and 62115 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 62115

Prime factors of 62115 are 3, 5, 41, 101. Prime factorization of 62115 in exponential form is:

62115 = 3¹ × 5¹ × 41¹ × 101¹

Step-3: Factors of 62100

List of positive integer factors of 62100 that divides 62100 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

Step-4: Factors of 62115

List of positive integer factors of 62115 that divides 62100 without a remainder.

1, 3, 5, 15, 41, 101, 123, 205, 303, 505, 615, 1515, 4141, 12423, 20705

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62100 and 62115. The biggest common factor number is the GCF number.
So the greatest common factor 62100 and 62115 is 15.

Also check out the Least Common Multiple of 62100 and 62115