What is the Greatest Common Factor of 31065 and 31075?

Greatest common factor (GCF) of 31065 and 31075 is 5.

GCF(31065,31075) = 5

We will now calculate the prime factors of 31065 and 31075, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31065 and 31075.

How to find the GCF of 31065 and 31075?

We will first find the prime factorization of 31065 and 31075. After we will calculate the factors of 31065 and 31075 and find the biggest common factor number .

Step-1: Prime Factorization of 31065

Prime factors of 31065 are 3, 5, 19, 109. Prime factorization of 31065 in exponential form is:

31065 = 3¹ × 5¹ × 19¹ × 109¹

Step-2: Prime Factorization of 31075

Prime factors of 31075 are 5, 11, 113. Prime factorization of 31075 in exponential form is:

31075 = 5² × 11¹ × 113¹

Step-3: Factors of 31065

List of positive integer factors of 31065 that divides 31065 without a remainder.

1, 3, 5, 15, 19, 57, 95, 109, 285, 327, 545, 1635, 2071, 6213, 10355

Step-4: Factors of 31075

List of positive integer factors of 31075 that divides 31065 without a remainder.

1, 5, 11, 25, 55, 113, 275, 565, 1243, 2825, 6215

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31065 and 31075. The biggest common factor number is the GCF number.
So the greatest common factor 31065 and 31075 is 5.

Also check out the Least Common Multiple of 31065 and 31075