What is the Greatest Common Factor of 93492 and 93512?

Greatest common factor (GCF) of 93492 and 93512 is 4.

GCF(93492,93512) = 4

We will now calculate the prime factors of 93492 and 93512, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93492 and 93512.

How to find the GCF of 93492 and 93512?

We will first find the prime factorization of 93492 and 93512. After we will calculate the factors of 93492 and 93512 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 93512

Prime factors of 93512 are 2, 11689. Prime factorization of 93512 in exponential form is:

93512 = 2³ × 11689¹

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 93512

List of positive integer factors of 93512 that divides 93492 without a remainder.

1, 2, 4, 8, 11689, 23378, 46756

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93492 and 93512. The biggest common factor number is the GCF number.
So the greatest common factor 93492 and 93512 is 4.

Also check out the Least Common Multiple of 93492 and 93512