What is the Greatest Common Factor of 93492 and 93501?

Greatest common factor (GCF) of 93492 and 93501 is 9.

GCF(93492,93501) = 9

We will now calculate the prime factors of 93492 and 93501, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93492 and 93501.

How to find the GCF of 93492 and 93501?

We will first find the prime factorization of 93492 and 93501. After we will calculate the factors of 93492 and 93501 and find the biggest common factor number .

Step-1: Prime Factorization of 93492

Prime factors of 93492 are 2, 3, 7, 53. Prime factorization of 93492 in exponential form is:

93492 = 2² × 3² × 7² × 53¹

Step-2: Prime Factorization of 93501

Prime factors of 93501 are 3, 3463. Prime factorization of 93501 in exponential form is:

93501 = 3³ × 3463¹

Step-3: Factors of 93492

List of positive integer factors of 93492 that divides 93492 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 49, 53, 63, 84, 98, 106, 126, 147, 159, 196, 212, 252, 294, 318, 371, 441, 477, 588, 636, 742, 882, 954, 1113, 1484, 1764, 1908, 2226, 2597, 3339, 4452, 5194, 6678, 7791, 10388, 13356, 15582, 23373, 31164, 46746

Step-4: Factors of 93501

List of positive integer factors of 93501 that divides 93492 without a remainder.

1, 3, 9, 27, 3463, 10389, 31167

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93492 and 93501. The biggest common factor number is the GCF number.
So the greatest common factor 93492 and 93501 is 9.

Also check out the Least Common Multiple of 93492 and 93501