What is the Greatest Common Factor of 93485 and 93492?

Greatest common factor (GCF) of 93485 and 93492 is 7.

GCF(93485,93492) = 7

We will now calculate the prime factors of 93485 and 93492, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93485 and 93492.

How to find the GCF of 93485 and 93492?

We will first find the prime factorization of 93485 and 93492. After we will calculate the factors of 93485 and 93492 and find the biggest common factor number .

Step-1: Prime Factorization of 93485

Prime factors of 93485 are 5, 7, 2671. Prime factorization of 93485 in exponential form is:

93485 = 5¹ × 7¹ × 2671¹

Step-2: 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-3: Factors of 93485

List of positive integer factors of 93485 that divides 93485 without a remainder.

1, 5, 7, 35, 2671, 13355, 18697

Step-4: Factors of 93492

List of positive integer factors of 93492 that divides 93485 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93485 and 93492. The biggest common factor number is the GCF number.
So the greatest common factor 93485 and 93492 is 7.

Also check out the Least Common Multiple of 93485 and 93492