What is the Greatest Common Factor of 93420 and 93426?

Greatest common factor (GCF) of 93420 and 93426 is 6.

GCF(93420,93426) = 6

We will now calculate the prime factors of 93420 and 93426, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93420 and 93426.

How to find the GCF of 93420 and 93426?

We will first find the prime factorization of 93420 and 93426. After we will calculate the factors of 93420 and 93426 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 93426

Prime factors of 93426 are 2, 3, 23, 677. Prime factorization of 93426 in exponential form is:

93426 = 2¹ × 3¹ × 23¹ × 677¹

Step-3: Factors of 93420

List of positive integer factors of 93420 that divides 93420 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

Step-4: Factors of 93426

List of positive integer factors of 93426 that divides 93420 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138, 677, 1354, 2031, 4062, 15571, 31142, 46713

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93420 and 93426. The biggest common factor number is the GCF number.
So the greatest common factor 93420 and 93426 is 6.

Also check out the Least Common Multiple of 93420 and 93426