What is the Greatest Common Factor of 91688 and 91698?

Greatest common factor (GCF) of 91688 and 91698 is 2.

GCF(91688,91698) = 2

We will now calculate the prime factors of 91688 and 91698, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91688 and 91698.

How to find the GCF of 91688 and 91698?

We will first find the prime factorization of 91688 and 91698. After we will calculate the factors of 91688 and 91698 and find the biggest common factor number .

Step-1: Prime Factorization of 91688

Prime factors of 91688 are 2, 73, 157. Prime factorization of 91688 in exponential form is:

91688 = 2³ × 73¹ × 157¹

Step-2: 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-3: Factors of 91688

List of positive integer factors of 91688 that divides 91688 without a remainder.

1, 2, 4, 8, 73, 146, 157, 292, 314, 584, 628, 1256, 11461, 22922, 45844

Step-4: Factors of 91698

List of positive integer factors of 91698 that divides 91688 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91688 and 91698. The biggest common factor number is the GCF number.
So the greatest common factor 91688 and 91698 is 2.

Also check out the Least Common Multiple of 91688 and 91698