What is the Greatest Common Factor of 93380 and 93396?

Greatest common factor (GCF) of 93380 and 93396 is 4.

GCF(93380,93396) = 4

We will now calculate the prime factors of 93380 and 93396, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93380 and 93396.

How to find the GCF of 93380 and 93396?

We will first find the prime factorization of 93380 and 93396. After we will calculate the factors of 93380 and 93396 and find the biggest common factor number .

Step-1: Prime Factorization of 93380

Prime factors of 93380 are 2, 5, 7, 23, 29. Prime factorization of 93380 in exponential form is:

93380 = 2² × 5¹ × 7¹ × 23¹ × 29¹

Step-2: Prime Factorization of 93396

Prime factors of 93396 are 2, 3, 43, 181. Prime factorization of 93396 in exponential form is:

93396 = 2² × 3¹ × 43¹ × 181¹

Step-3: Factors of 93380

List of positive integer factors of 93380 that divides 93380 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 23, 28, 29, 35, 46, 58, 70, 92, 115, 116, 140, 145, 161, 203, 230, 290, 322, 406, 460, 580, 644, 667, 805, 812, 1015, 1334, 1610, 2030, 2668, 3220, 3335, 4060, 4669, 6670, 9338, 13340, 18676, 23345, 46690

Step-4: Factors of 93396

List of positive integer factors of 93396 that divides 93380 without a remainder.

1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 181, 258, 362, 516, 543, 724, 1086, 2172, 7783, 15566, 23349, 31132, 46698

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93380 and 93396. The biggest common factor number is the GCF number.
So the greatest common factor 93380 and 93396 is 4.

Also check out the Least Common Multiple of 93380 and 93396