What is the Greatest Common Factor of 31005 and 31019?

Greatest common factor (GCF) of 31005 and 31019 is 1.

GCF(31005,31019) = 1

We will now calculate the prime factors of 31005 and 31019, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31005 and 31019.

How to find the GCF of 31005 and 31019?

We will first find the prime factorization of 31005 and 31019. After we will calculate the factors of 31005 and 31019 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 31019

Prime factors of 31019 are 31019. Prime factorization of 31019 in exponential form is:

31019 = 31019¹

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 31019

List of positive integer factors of 31019 that divides 31005 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31005 and 31019. The biggest common factor number is the GCF number.
So the greatest common factor 31005 and 31019 is 1.

Also check out the Least Common Multiple of 31005 and 31019