What is the Greatest Common Factor of 93420 and 93428?

Greatest common factor (GCF) of 93420 and 93428 is 4.

GCF(93420,93428) = 4

We will now calculate the prime factors of 93420 and 93428, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93420 and 93428.

How to find the GCF of 93420 and 93428?

We will first find the prime factorization of 93420 and 93428. After we will calculate the factors of 93420 and 93428 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 93428

Prime factors of 93428 are 2, 23357. Prime factorization of 93428 in exponential form is:

93428 = 2² × 23357¹

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 93428

List of positive integer factors of 93428 that divides 93420 without a remainder.

1, 2, 4, 23357, 46714

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93420 and 93428. The biggest common factor number is the GCF number.
So the greatest common factor 93420 and 93428 is 4.

Also check out the Least Common Multiple of 93420 and 93428