What is the Greatest Common Factor of 93420 and 93438?

Greatest common factor (GCF) of 93420 and 93438 is 18.

GCF(93420,93438) = 18

We will now calculate the prime factors of 93420 and 93438, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93420 and 93438.

How to find the GCF of 93420 and 93438?

We will first find the prime factorization of 93420 and 93438. After we will calculate the factors of 93420 and 93438 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 93438

Prime factors of 93438 are 2, 3, 29, 179. Prime factorization of 93438 in exponential form is:

93438 = 2¹ × 3² × 29¹ × 179¹

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 93438

List of positive integer factors of 93438 that divides 93420 without a remainder.

1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 179, 261, 358, 522, 537, 1074, 1611, 3222, 5191, 10382, 15573, 31146, 46719

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93420 and 93438. The biggest common factor number is the GCF number.
So the greatest common factor 93420 and 93438 is 18.

Also check out the Least Common Multiple of 93420 and 93438