What is the Greatest Common Factor of 31595 and 31607?

Greatest common factor (GCF) of 31595 and 31607 is 1.

GCF(31595,31607) = 1

We will now calculate the prime factors of 31595 and 31607, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31595 and 31607.

How to find the GCF of 31595 and 31607?

We will first find the prime factorization of 31595 and 31607. After we will calculate the factors of 31595 and 31607 and find the biggest common factor number .

Step-1: Prime Factorization of 31595

Prime factors of 31595 are 5, 71, 89. Prime factorization of 31595 in exponential form is:

31595 = 5¹ × 71¹ × 89¹

Step-2: Prime Factorization of 31607

Prime factors of 31607 are 31607. Prime factorization of 31607 in exponential form is:

31607 = 31607¹

Step-3: Factors of 31595

List of positive integer factors of 31595 that divides 31595 without a remainder.

1, 5, 71, 89, 355, 445, 6319

Step-4: Factors of 31607

List of positive integer factors of 31607 that divides 31595 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31595 and 31607. The biggest common factor number is the GCF number.
So the greatest common factor 31595 and 31607 is 1.

Also check out the Least Common Multiple of 31595 and 31607