What is the Greatest Common Factor of 97002 and 97017?

Greatest common factor (GCF) of 97002 and 97017 is 3.

GCF(97002,97017) = 3

We will now calculate the prime factors of 97002 and 97017, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97002 and 97017.

How to find the GCF of 97002 and 97017?

We will first find the prime factorization of 97002 and 97017. After we will calculate the factors of 97002 and 97017 and find the biggest common factor number .

Step-1: Prime Factorization of 97002

Prime factors of 97002 are 2, 3, 17, 317. Prime factorization of 97002 in exponential form is:

97002 = 2¹ × 3² × 17¹ × 317¹

Step-2: Prime Factorization of 97017

Prime factors of 97017 are 3, 73, 443. Prime factorization of 97017 in exponential form is:

97017 = 3¹ × 73¹ × 443¹

Step-3: Factors of 97002

List of positive integer factors of 97002 that divides 97002 without a remainder.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306, 317, 634, 951, 1902, 2853, 5389, 5706, 10778, 16167, 32334, 48501

Step-4: Factors of 97017

List of positive integer factors of 97017 that divides 97002 without a remainder.

1, 3, 73, 219, 443, 1329, 32339

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97002 and 97017. The biggest common factor number is the GCF number.
So the greatest common factor 97002 and 97017 is 3.

Also check out the Least Common Multiple of 97002 and 97017