What is the Greatest Common Factor of 31005 and 31017?

Greatest common factor (GCF) of 31005 and 31017 is 3.

GCF(31005,31017) = 3

We will now calculate the prime factors of 31005 and 31017, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31005 and 31017.

How to find the GCF of 31005 and 31017?

We will first find the prime factorization of 31005 and 31017. After we will calculate the factors of 31005 and 31017 and find the biggest common factor number .

Step-1: Prime Factorization of 31005

Prime factors of 31005 are 3, 5, 13, 53. Prime factorization of 31005 in exponential form is:

31005 = 3² × 5¹ × 13¹ × 53¹

Step-2: Prime Factorization of 31017

Prime factors of 31017 are 3, 7, 211. Prime factorization of 31017 in exponential form is:

31017 = 3¹ × 7² × 211¹

Step-3: Factors of 31005

List of positive integer factors of 31005 that divides 31005 without a remainder.

1, 3, 5, 9, 13, 15, 39, 45, 53, 65, 117, 159, 195, 265, 477, 585, 689, 795, 2067, 2385, 3445, 6201, 10335

Step-4: Factors of 31017

List of positive integer factors of 31017 that divides 31005 without a remainder.

1, 3, 7, 21, 49, 147, 211, 633, 1477, 4431, 10339

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31005 and 31017. The biggest common factor number is the GCF number.
So the greatest common factor 31005 and 31017 is 3.

Also check out the Least Common Multiple of 31005 and 31017