What is the Greatest Common Factor of 62415 and 62434?

Greatest common factor (GCF) of 62415 and 62434 is 19.

GCF(62415,62434) = 19

We will now calculate the prime factors of 62415 and 62434, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62415 and 62434.

How to find the GCF of 62415 and 62434?

We will first find the prime factorization of 62415 and 62434. After we will calculate the factors of 62415 and 62434 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 62434

Prime factors of 62434 are 2, 19, 31, 53. Prime factorization of 62434 in exponential form is:

62434 = 2¹ × 19¹ × 31¹ × 53¹

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 62434

List of positive integer factors of 62434 that divides 62415 without a remainder.

1, 2, 19, 31, 38, 53, 62, 106, 589, 1007, 1178, 1643, 2014, 3286, 31217

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62415 and 62434. The biggest common factor number is the GCF number.
So the greatest common factor 62415 and 62434 is 19.

Also check out the Least Common Multiple of 62415 and 62434