What is the Greatest Common Factor of 42497 and 42510?

Greatest common factor (GCF) of 42497 and 42510 is 13.

GCF(42497,42510) = 13

We will now calculate the prime factors of 42497 and 42510, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42497 and 42510.

How to find the GCF of 42497 and 42510?

We will first find the prime factorization of 42497 and 42510. After we will calculate the factors of 42497 and 42510 and find the biggest common factor number .

Step-1: Prime Factorization of 42497

Prime factors of 42497 are 7, 13, 467. Prime factorization of 42497 in exponential form is:

42497 = 7¹ × 13¹ × 467¹

Step-2: Prime Factorization of 42510

Prime factors of 42510 are 2, 3, 5, 13, 109. Prime factorization of 42510 in exponential form is:

42510 = 2¹ × 3¹ × 5¹ × 13¹ × 109¹

Step-3: Factors of 42497

List of positive integer factors of 42497 that divides 42497 without a remainder.

1, 7, 13, 91, 467, 3269, 6071

Step-4: Factors of 42510

List of positive integer factors of 42510 that divides 42497 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 109, 130, 195, 218, 327, 390, 545, 654, 1090, 1417, 1635, 2834, 3270, 4251, 7085, 8502, 14170, 21255

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42497 and 42510. The biggest common factor number is the GCF number.
So the greatest common factor 42497 and 42510 is 13.

Also check out the Least Common Multiple of 42497 and 42510