What is the Greatest Common Factor of 62100 and 62105?

Greatest common factor (GCF) of 62100 and 62105 is 5.

GCF(62100,62105) = 5

We will now calculate the prime factors of 62100 and 62105, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62100 and 62105.

How to find the GCF of 62100 and 62105?

We will first find the prime factorization of 62100 and 62105. After we will calculate the factors of 62100 and 62105 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 62105

Prime factors of 62105 are 5, 12421. Prime factorization of 62105 in exponential form is:

62105 = 5¹ × 12421¹

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 62105

List of positive integer factors of 62105 that divides 62100 without a remainder.

1, 5, 12421

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62100 and 62105. The biggest common factor number is the GCF number.
So the greatest common factor 62100 and 62105 is 5.

Also check out the Least Common Multiple of 62100 and 62105