What is the Greatest Common Factor of 93245 and 93262?

Greatest common factor (GCF) of 93245 and 93262 is 17.

GCF(93245,93262) = 17

We will now calculate the prime factors of 93245 and 93262, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93245 and 93262.

How to find the GCF of 93245 and 93262?

We will first find the prime factorization of 93245 and 93262. After we will calculate the factors of 93245 and 93262 and find the biggest common factor number .

Step-1: Prime Factorization of 93245

Prime factors of 93245 are 5, 17, 1097. Prime factorization of 93245 in exponential form is:

93245 = 5¹ × 17¹ × 1097¹

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 93245

List of positive integer factors of 93245 that divides 93245 without a remainder.

1, 5, 17, 85, 1097, 5485, 18649

Step-4: Factors of 93262

List of positive integer factors of 93262 that divides 93245 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 93245 and 93262. The biggest common factor number is the GCF number.
So the greatest common factor 93245 and 93262 is 17.

Also check out the Least Common Multiple of 93245 and 93262