What is the Greatest Common Factor of 39405 and 39420?

Greatest common factor (GCF) of 39405 and 39420 is 15.

GCF(39405,39420) = 15

We will now calculate the prime factors of 39405 and 39420, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39405 and 39420.

How to find the GCF of 39405 and 39420?

We will first find the prime factorization of 39405 and 39420. After we will calculate the factors of 39405 and 39420 and find the biggest common factor number .

Step-1: Prime Factorization of 39405

Prime factors of 39405 are 3, 5, 37, 71. Prime factorization of 39405 in exponential form is:

39405 = 3¹ × 5¹ × 37¹ × 71¹

Step-2: Prime Factorization of 39420

Prime factors of 39420 are 2, 3, 5, 73. Prime factorization of 39420 in exponential form is:

39420 = 2² × 3³ × 5¹ × 73¹

Step-3: Factors of 39405

List of positive integer factors of 39405 that divides 39405 without a remainder.

1, 3, 5, 15, 37, 71, 111, 185, 213, 355, 555, 1065, 2627, 7881, 13135

Step-4: Factors of 39420

List of positive integer factors of 39420 that divides 39405 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 73, 90, 108, 135, 146, 180, 219, 270, 292, 365, 438, 540, 657, 730, 876, 1095, 1314, 1460, 1971, 2190, 2628, 3285, 3942, 4380, 6570, 7884, 9855, 13140, 19710

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39405 and 39420. The biggest common factor number is the GCF number.
So the greatest common factor 39405 and 39420 is 15.

Also check out the Least Common Multiple of 39405 and 39420