What is the Greatest Common Factor of 62415 and 62424?

Greatest common factor (GCF) of 62415 and 62424 is 9.

GCF(62415,62424) = 9

We will now calculate the prime factors of 62415 and 62424, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62415 and 62424.

How to find the GCF of 62415 and 62424?

We will first find the prime factorization of 62415 and 62424. After we will calculate the factors of 62415 and 62424 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 62424

Prime factors of 62424 are 2, 3, 17. Prime factorization of 62424 in exponential form is:

62424 = 2³ × 3³ × 17²

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 62424

List of positive integer factors of 62424 that divides 62415 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 17, 18, 24, 27, 34, 36, 51, 54, 68, 72, 102, 108, 136, 153, 204, 216, 289, 306, 408, 459, 578, 612, 867, 918, 1156, 1224, 1734, 1836, 2312, 2601, 3468, 3672, 5202, 6936, 7803, 10404, 15606, 20808, 31212

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62415 and 62424. The biggest common factor number is the GCF number.
So the greatest common factor 62415 and 62424 is 9.

Also check out the Least Common Multiple of 62415 and 62424