What is the Greatest Common Factor of 60396 and 60408?

Greatest common factor (GCF) of 60396 and 60408 is 12.

GCF(60396,60408) = 12

We will now calculate the prime factors of 60396 and 60408, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60396 and 60408.

How to find the GCF of 60396 and 60408?

We will first find the prime factorization of 60396 and 60408. After we will calculate the factors of 60396 and 60408 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 60408

Prime factors of 60408 are 2, 3, 839. Prime factorization of 60408 in exponential form is:

60408 = 2³ × 3² × 839¹

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 60408

List of positive integer factors of 60408 that divides 60396 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 839, 1678, 2517, 3356, 5034, 6712, 7551, 10068, 15102, 20136, 30204

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60396 and 60408. The biggest common factor number is the GCF number.
So the greatest common factor 60396 and 60408 is 12.

Also check out the Least Common Multiple of 60396 and 60408