What is the Greatest Common Factor of 93272 and 93279?

Greatest common factor (GCF) of 93272 and 93279 is 1.

GCF(93272,93279) = 1

We will now calculate the prime factors of 93272 and 93279, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93272 and 93279.

How to find the GCF of 93272 and 93279?

We will first find the prime factorization of 93272 and 93279. After we will calculate the factors of 93272 and 93279 and find the biggest common factor number .

Step-1: Prime Factorization of 93272

Prime factors of 93272 are 2, 89, 131. Prime factorization of 93272 in exponential form is:

93272 = 2³ × 89¹ × 131¹

Step-2: Prime Factorization of 93279

Prime factors of 93279 are 3, 17, 31, 59. Prime factorization of 93279 in exponential form is:

93279 = 3¹ × 17¹ × 31¹ × 59¹

Step-3: Factors of 93272

List of positive integer factors of 93272 that divides 93272 without a remainder.

1, 2, 4, 8, 89, 131, 178, 262, 356, 524, 712, 1048, 11659, 23318, 46636

Step-4: Factors of 93279

List of positive integer factors of 93279 that divides 93272 without a remainder.

1, 3, 17, 31, 51, 59, 93, 177, 527, 1003, 1581, 1829, 3009, 5487, 31093

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93272 and 93279. The biggest common factor number is the GCF number.
So the greatest common factor 93272 and 93279 is 1.

Also check out the Least Common Multiple of 93272 and 93279