What is the Greatest Common Factor of 31595 and 31603?

Greatest common factor (GCF) of 31595 and 31603 is 1.

GCF(31595,31603) = 1

We will now calculate the prime factors of 31595 and 31603, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31595 and 31603.

How to find the GCF of 31595 and 31603?

We will first find the prime factorization of 31595 and 31603. After we will calculate the factors of 31595 and 31603 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 31603

Prime factors of 31603 are 11, 13, 17. Prime factorization of 31603 in exponential form is:

31603 = 11¹ × 13² × 17¹

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 31603

List of positive integer factors of 31603 that divides 31595 without a remainder.

1, 11, 13, 17, 143, 169, 187, 221, 1859, 2431, 2873

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31595 and 31603. The biggest common factor number is the GCF number.
So the greatest common factor 31595 and 31603 is 1.

Also check out the Least Common Multiple of 31595 and 31603