What is the Greatest Common Factor of 62415 and 62430?

Greatest common factor (GCF) of 62415 and 62430 is 15.

GCF(62415,62430) = 15

We will now calculate the prime factors of 62415 and 62430, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62415 and 62430.

How to find the GCF of 62415 and 62430?

We will first find the prime factorization of 62415 and 62430. After we will calculate the factors of 62415 and 62430 and find the biggest common factor number .

Step-1: Prime Factorization of 62415

Prime factors of 62415 are 3, 5, 19, 73. Prime factorization of 62415 in exponential form is:

62415 = 3² × 5¹ × 19¹ × 73¹

Step-2: Prime Factorization of 62430

Prime factors of 62430 are 2, 3, 5, 2081. Prime factorization of 62430 in exponential form is:

62430 = 2¹ × 3¹ × 5¹ × 2081¹

Step-3: Factors of 62415

List of positive integer factors of 62415 that divides 62415 without a remainder.

1, 3, 5, 9, 15, 19, 45, 57, 73, 95, 171, 219, 285, 365, 657, 855, 1095, 1387, 3285, 4161, 6935, 12483, 20805

Step-4: Factors of 62430

List of positive integer factors of 62430 that divides 62415 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 2081, 4162, 6243, 10405, 12486, 20810, 31215

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62415 and 62430. The biggest common factor number is the GCF number.
So the greatest common factor 62415 and 62430 is 15.

Also check out the Least Common Multiple of 62415 and 62430