What is the Greatest Common Factor of 93405 and 93420?

Greatest common factor (GCF) of 93405 and 93420 is 15.

GCF(93405,93420) = 15

We will now calculate the prime factors of 93405 and 93420, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93405 and 93420.

How to find the GCF of 93405 and 93420?

We will first find the prime factorization of 93405 and 93420. After we will calculate the factors of 93405 and 93420 and find the biggest common factor number .

Step-1: Prime Factorization of 93405

Prime factors of 93405 are 3, 5, 13, 479. Prime factorization of 93405 in exponential form is:

93405 = 3¹ × 5¹ × 13¹ × 479¹

Step-2: Prime Factorization of 93420

Prime factors of 93420 are 2, 3, 5, 173. Prime factorization of 93420 in exponential form is:

93420 = 2² × 3³ × 5¹ × 173¹

Step-3: Factors of 93405

List of positive integer factors of 93405 that divides 93405 without a remainder.

1, 3, 5, 13, 15, 39, 65, 195, 479, 1437, 2395, 6227, 7185, 18681, 31135

Step-4: Factors of 93420

List of positive integer factors of 93420 that divides 93405 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 173, 180, 270, 346, 519, 540, 692, 865, 1038, 1557, 1730, 2076, 2595, 3114, 3460, 4671, 5190, 6228, 7785, 9342, 10380, 15570, 18684, 23355, 31140, 46710

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93405 and 93420. The biggest common factor number is the GCF number.
So the greatest common factor 93405 and 93420 is 15.

Also check out the Least Common Multiple of 93405 and 93420