What is the Greatest Common Factor of 93249 and 93262?

Greatest common factor (GCF) of 93249 and 93262 is 13.

GCF(93249,93262) = 13

We will now calculate the prime factors of 93249 and 93262, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93249 and 93262.

How to find the GCF of 93249 and 93262?

We will first find the prime factorization of 93249 and 93262. After we will calculate the factors of 93249 and 93262 and find the biggest common factor number .

Step-1: Prime Factorization of 93249

Prime factors of 93249 are 3, 13, 797. Prime factorization of 93249 in exponential form is:

93249 = 3² × 13¹ × 797¹

Step-2: 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-3: Factors of 93249

List of positive integer factors of 93249 that divides 93249 without a remainder.

1, 3, 9, 13, 39, 117, 797, 2391, 7173, 10361, 31083

Step-4: Factors of 93262

List of positive integer factors of 93262 that divides 93249 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93249 and 93262. The biggest common factor number is the GCF number.
So the greatest common factor 93249 and 93262 is 13.

Also check out the Least Common Multiple of 93249 and 93262