What is the Greatest Common Factor of 94497 and 94510?

Greatest common factor (GCF) of 94497 and 94510 is 13.

GCF(94497,94510) = 13

We will now calculate the prime factors of 94497 and 94510, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 94497 and 94510.

How to find the GCF of 94497 and 94510?

We will first find the prime factorization of 94497 and 94510. After we will calculate the factors of 94497 and 94510 and find the biggest common factor number .

Step-1: Prime Factorization of 94497

Prime factors of 94497 are 3, 13, 2423. Prime factorization of 94497 in exponential form is:

94497 = 3¹ × 13¹ × 2423¹

Step-2: Prime Factorization of 94510

Prime factors of 94510 are 2, 5, 13, 727. Prime factorization of 94510 in exponential form is:

94510 = 2¹ × 5¹ × 13¹ × 727¹

Step-3: Factors of 94497

List of positive integer factors of 94497 that divides 94497 without a remainder.

1, 3, 13, 39, 2423, 7269, 31499

Step-4: Factors of 94510

List of positive integer factors of 94510 that divides 94497 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130, 727, 1454, 3635, 7270, 9451, 18902, 47255

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 94497 and 94510. The biggest common factor number is the GCF number.
So the greatest common factor 94497 and 94510 is 13.

Also check out the Least Common Multiple of 94497 and 94510