What is the Greatest Common Factor of 62100 and 62117?

Greatest common factor (GCF) of 62100 and 62117 is 1.

GCF(62100,62117) = 1

We will now calculate the prime factors of 62100 and 62117, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62100 and 62117.

How to find the GCF of 62100 and 62117?

We will first find the prime factorization of 62100 and 62117. After we will calculate the factors of 62100 and 62117 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 62117

Prime factors of 62117 are 11, 5647. Prime factorization of 62117 in exponential form is:

62117 = 11¹ × 5647¹

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 62117

List of positive integer factors of 62117 that divides 62100 without a remainder.

1, 11, 5647

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62100 and 62117. The biggest common factor number is the GCF number.
So the greatest common factor 62100 and 62117 is 1.

Also check out the Least Common Multiple of 62100 and 62117