What is the Greatest Common Factor of 62415 and 62431?

Greatest common factor (GCF) of 62415 and 62431 is 1.

GCF(62415,62431) = 1

We will now calculate the prime factors of 62415 and 62431, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62415 and 62431.

How to find the GCF of 62415 and 62431?

We will first find the prime factorization of 62415 and 62431. After we will calculate the factors of 62415 and 62431 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 62431

Prime factors of 62431 are 149, 419. Prime factorization of 62431 in exponential form is:

62431 = 149¹ × 419¹

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 62431

List of positive integer factors of 62431 that divides 62415 without a remainder.

1, 149, 419

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62415 and 62431. The biggest common factor number is the GCF number.
So the greatest common factor 62415 and 62431 is 1.

Also check out the Least Common Multiple of 62415 and 62431