What is the Greatest Common Factor of 31339 and 31346?

Greatest common factor (GCF) of 31339 and 31346 is 7.

GCF(31339,31346) = 7

We will now calculate the prime factors of 31339 and 31346, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31339 and 31346.

How to find the GCF of 31339 and 31346?

We will first find the prime factorization of 31339 and 31346. After we will calculate the factors of 31339 and 31346 and find the biggest common factor number .

Step-1: Prime Factorization of 31339

Prime factors of 31339 are 7, 11, 37. Prime factorization of 31339 in exponential form is:

31339 = 7¹ × 11² × 37¹

Step-2: Prime Factorization of 31346

Prime factors of 31346 are 2, 7, 2239. Prime factorization of 31346 in exponential form is:

31346 = 2¹ × 7¹ × 2239¹

Step-3: Factors of 31339

List of positive integer factors of 31339 that divides 31339 without a remainder.

1, 7, 11, 37, 77, 121, 259, 407, 847, 2849, 4477

Step-4: Factors of 31346

List of positive integer factors of 31346 that divides 31339 without a remainder.

1, 2, 7, 14, 2239, 4478, 15673

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31339 and 31346. The biggest common factor number is the GCF number.
So the greatest common factor 31339 and 31346 is 7.

Also check out the Least Common Multiple of 31339 and 31346