What is the Greatest Common Factor of 60396 and 60415?

Greatest common factor (GCF) of 60396 and 60415 is 1.

GCF(60396,60415) = 1

We will now calculate the prime factors of 60396 and 60415, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60396 and 60415.

How to find the GCF of 60396 and 60415?

We will first find the prime factorization of 60396 and 60415. After we will calculate the factors of 60396 and 60415 and find the biggest common factor number .

Step-1: Prime Factorization of 60396

Prime factors of 60396 are 2, 3, 7, 719. Prime factorization of 60396 in exponential form is:

60396 = 2² × 3¹ × 7¹ × 719¹

Step-2: Prime Factorization of 60415

Prime factors of 60415 are 5, 43, 281. Prime factorization of 60415 in exponential form is:

60415 = 5¹ × 43¹ × 281¹

Step-3: Factors of 60396

List of positive integer factors of 60396 that divides 60396 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 719, 1438, 2157, 2876, 4314, 5033, 8628, 10066, 15099, 20132, 30198

Step-4: Factors of 60415

List of positive integer factors of 60415 that divides 60396 without a remainder.

1, 5, 43, 215, 281, 1405, 12083

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60396 and 60415. The biggest common factor number is the GCF number.
So the greatest common factor 60396 and 60415 is 1.

Also check out the Least Common Multiple of 60396 and 60415