What is the Greatest Common Factor of 93252 and 93270?

Greatest common factor (GCF) of 93252 and 93270 is 6.

GCF(93252,93270) = 6

We will now calculate the prime factors of 93252 and 93270, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93252 and 93270.

How to find the GCF of 93252 and 93270?

We will first find the prime factorization of 93252 and 93270. After we will calculate the factors of 93252 and 93270 and find the biggest common factor number .

Step-1: Prime Factorization of 93252

Prime factors of 93252 are 2, 3, 19, 409. Prime factorization of 93252 in exponential form is:

93252 = 2² × 3¹ × 19¹ × 409¹

Step-2: Prime Factorization of 93270

Prime factors of 93270 are 2, 3, 5, 3109. Prime factorization of 93270 in exponential form is:

93270 = 2¹ × 3¹ × 5¹ × 3109¹

Step-3: Factors of 93252

List of positive integer factors of 93252 that divides 93252 without a remainder.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228, 409, 818, 1227, 1636, 2454, 4908, 7771, 15542, 23313, 31084, 46626

Step-4: Factors of 93270

List of positive integer factors of 93270 that divides 93252 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 3109, 6218, 9327, 15545, 18654, 31090, 46635

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93252 and 93270. The biggest common factor number is the GCF number.
So the greatest common factor 93252 and 93270 is 6.

Also check out the Least Common Multiple of 93252 and 93270