What is the Greatest Common Factor of 93262 and 93279?

Greatest common factor (GCF) of 93262 and 93279 is 17.

GCF(93262,93279) = 17

We will now calculate the prime factors of 93262 and 93279, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93262 and 93279.

How to find the GCF of 93262 and 93279?

We will first find the prime factorization of 93262 and 93279. After we will calculate the factors of 93262 and 93279 and find the biggest common factor number .

Step-1: Prime Factorization of 93262

Prime factors of 93262 are 2, 13, 17, 211. Prime factorization of 93262 in exponential form is:

93262 = 2¹ × 13¹ × 17¹ × 211¹

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 93262

List of positive integer factors of 93262 that divides 93262 without a remainder.

1, 2, 13, 17, 26, 34, 211, 221, 422, 442, 2743, 3587, 5486, 7174, 46631

Step-4: Factors of 93279

List of positive integer factors of 93279 that divides 93262 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 93262 and 93279. The biggest common factor number is the GCF number.
So the greatest common factor 93262 and 93279 is 17.

Also check out the Least Common Multiple of 93262 and 93279