What is the Greatest Common Factor of 91698 and 91715?

Greatest common factor (GCF) of 91698 and 91715 is 17.

GCF(91698,91715) = 17

We will now calculate the prime factors of 91698 and 91715, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91698 and 91715.

How to find the GCF of 91698 and 91715?

We will first find the prime factorization of 91698 and 91715. After we will calculate the factors of 91698 and 91715 and find the biggest common factor number .

Step-1: Prime Factorization of 91698

Prime factors of 91698 are 2, 3, 17, 29, 31. Prime factorization of 91698 in exponential form is:

91698 = 2¹ × 3¹ × 17¹ × 29¹ × 31¹

Step-2: Prime Factorization of 91715

Prime factors of 91715 are 5, 13, 17, 83. Prime factorization of 91715 in exponential form is:

91715 = 5¹ × 13¹ × 17¹ × 83¹

Step-3: Factors of 91698

List of positive integer factors of 91698 that divides 91698 without a remainder.

1, 2, 3, 6, 17, 29, 31, 34, 51, 58, 62, 87, 93, 102, 174, 186, 493, 527, 899, 986, 1054, 1479, 1581, 1798, 2697, 2958, 3162, 5394, 15283, 30566, 45849

Step-4: Factors of 91715

List of positive integer factors of 91715 that divides 91698 without a remainder.

1, 5, 13, 17, 65, 83, 85, 221, 415, 1079, 1105, 1411, 5395, 7055, 18343

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91698 and 91715. The biggest common factor number is the GCF number.
So the greatest common factor 91698 and 91715 is 17.

Also check out the Least Common Multiple of 91698 and 91715