What is the Greatest Common Factor of 51493 and 51510?

Greatest common factor (GCF) of 51493 and 51510 is 17.

GCF(51493,51510) = 17

We will now calculate the prime factors of 51493 and 51510, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51493 and 51510.

How to find the GCF of 51493 and 51510?

We will first find the prime factorization of 51493 and 51510. After we will calculate the factors of 51493 and 51510 and find the biggest common factor number .

Step-1: Prime Factorization of 51493

Prime factors of 51493 are 13, 17, 233. Prime factorization of 51493 in exponential form is:

51493 = 13¹ × 17¹ × 233¹

Step-2: Prime Factorization of 51510

Prime factors of 51510 are 2, 3, 5, 17, 101. Prime factorization of 51510 in exponential form is:

51510 = 2¹ × 3¹ × 5¹ × 17¹ × 101¹

Step-3: Factors of 51493

List of positive integer factors of 51493 that divides 51493 without a remainder.

1, 13, 17, 221, 233, 3029, 3961

Step-4: Factors of 51510

List of positive integer factors of 51510 that divides 51493 without a remainder.

1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 101, 102, 170, 202, 255, 303, 505, 510, 606, 1010, 1515, 1717, 3030, 3434, 5151, 8585, 10302, 17170, 25755

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51493 and 51510. The biggest common factor number is the GCF number.
So the greatest common factor 51493 and 51510 is 17.

Also check out the Least Common Multiple of 51493 and 51510