What is the Greatest Common Factor of 93245 and 93264?

Greatest common factor (GCF) of 93245 and 93264 is 1.

GCF(93245,93264) = 1

We will now calculate the prime factors of 93245 and 93264, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93245 and 93264.

How to find the GCF of 93245 and 93264?

We will first find the prime factorization of 93245 and 93264. After we will calculate the factors of 93245 and 93264 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 93264

Prime factors of 93264 are 2, 3, 29, 67. Prime factorization of 93264 in exponential form is:

93264 = 2⁴ × 3¹ × 29¹ × 67¹

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 93264

List of positive integer factors of 93264 that divides 93245 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 29, 48, 58, 67, 87, 116, 134, 174, 201, 232, 268, 348, 402, 464, 536, 696, 804, 1072, 1392, 1608, 1943, 3216, 3886, 5829, 7772, 11658, 15544, 23316, 31088, 46632

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93245 and 93264. The biggest common factor number is the GCF number.
So the greatest common factor 93245 and 93264 is 1.

Also check out the Least Common Multiple of 93245 and 93264