What is the Greatest Common Factor of 31065 and 31077?

Greatest common factor (GCF) of 31065 and 31077 is 3.

GCF(31065,31077) = 3

We will now calculate the prime factors of 31065 and 31077, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31065 and 31077.

How to find the GCF of 31065 and 31077?

We will first find the prime factorization of 31065 and 31077. After we will calculate the factors of 31065 and 31077 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 31077

Prime factors of 31077 are 3, 1151. Prime factorization of 31077 in exponential form is:

31077 = 3³ × 1151¹

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 31077

List of positive integer factors of 31077 that divides 31065 without a remainder.

1, 3, 9, 27, 1151, 3453, 10359

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31065 and 31077. The biggest common factor number is the GCF number.
So the greatest common factor 31065 and 31077 is 3.

Also check out the Least Common Multiple of 31065 and 31077