What is the Greatest Common Factor of 31059 and 31079?

Greatest common factor (GCF) of 31059 and 31079 is 1.

GCF(31059,31079) = 1

We will now calculate the prime factors of 31059 and 31079, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31059 and 31079.

How to find the GCF of 31059 and 31079?

We will first find the prime factorization of 31059 and 31079. After we will calculate the factors of 31059 and 31079 and find the biggest common factor number .

Step-1: Prime Factorization of 31059

Prime factors of 31059 are 3, 7, 17, 29. Prime factorization of 31059 in exponential form is:

31059 = 3² × 7¹ × 17¹ × 29¹

Step-2: Prime Factorization of 31079

Prime factors of 31079 are 31079. Prime factorization of 31079 in exponential form is:

31079 = 31079¹

Step-3: Factors of 31059

List of positive integer factors of 31059 that divides 31059 without a remainder.

1, 3, 7, 9, 17, 21, 29, 51, 63, 87, 119, 153, 203, 261, 357, 493, 609, 1071, 1479, 1827, 3451, 4437, 10353

Step-4: Factors of 31079

List of positive integer factors of 31079 that divides 31059 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31059 and 31079. The biggest common factor number is the GCF number.
So the greatest common factor 31059 and 31079 is 1.

Also check out the Least Common Multiple of 31059 and 31079