What is the Greatest Common Factor of 31065 and 31074?

Greatest common factor (GCF) of 31065 and 31074 is 3.

GCF(31065,31074) = 3

We will now calculate the prime factors of 31065 and 31074, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31065 and 31074.

How to find the GCF of 31065 and 31074?

We will first find the prime factorization of 31065 and 31074. After we will calculate the factors of 31065 and 31074 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 31074

Prime factors of 31074 are 2, 3, 5179. Prime factorization of 31074 in exponential form is:

31074 = 2¹ × 3¹ × 5179¹

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 31074

List of positive integer factors of 31074 that divides 31065 without a remainder.

1, 2, 3, 6, 5179, 10358, 15537

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31065 and 31074. The biggest common factor number is the GCF number.
So the greatest common factor 31065 and 31074 is 3.

Also check out the Least Common Multiple of 31065 and 31074