What is the Greatest Common Factor of 62100 and 62109?

Greatest common factor (GCF) of 62100 and 62109 is 9.

GCF(62100,62109) = 9

We will now calculate the prime factors of 62100 and 62109, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62100 and 62109.

How to find the GCF of 62100 and 62109?

We will first find the prime factorization of 62100 and 62109. After we will calculate the factors of 62100 and 62109 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 62109

Prime factors of 62109 are 3, 67, 103. Prime factorization of 62109 in exponential form is:

62109 = 3² × 67¹ × 103¹

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 62109

List of positive integer factors of 62109 that divides 62100 without a remainder.

1, 3, 9, 67, 103, 201, 309, 603, 927, 6901, 20703

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62100 and 62109. The biggest common factor number is the GCF number.
So the greatest common factor 62100 and 62109 is 9.

Also check out the Least Common Multiple of 62100 and 62109