What is the Greatest Common Factor of 31485 and 31505?

Greatest common factor (GCF) of 31485 and 31505 is 5.

GCF(31485,31505) = 5

We will now calculate the prime factors of 31485 and 31505, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31485 and 31505.

How to find the GCF of 31485 and 31505?

We will first find the prime factorization of 31485 and 31505. After we will calculate the factors of 31485 and 31505 and find the biggest common factor number .

Step-1: Prime Factorization of 31485

Prime factors of 31485 are 3, 5, 2099. Prime factorization of 31485 in exponential form is:

31485 = 3¹ × 5¹ × 2099¹

Step-2: Prime Factorization of 31505

Prime factors of 31505 are 5, 6301. Prime factorization of 31505 in exponential form is:

31505 = 5¹ × 6301¹

Step-3: Factors of 31485

List of positive integer factors of 31485 that divides 31485 without a remainder.

1, 3, 5, 15, 2099, 6297, 10495

Step-4: Factors of 31505

List of positive integer factors of 31505 that divides 31485 without a remainder.

1, 5, 6301

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31485 and 31505. The biggest common factor number is the GCF number.
So the greatest common factor 31485 and 31505 is 5.

Also check out the Least Common Multiple of 31485 and 31505