What is the Greatest Common Factor of 1065 and 1083?

Greatest common factor (GCF) of 1065 and 1083 is 3.

GCF(1065,1083) = 3

We will now calculate the prime factors of 1065 and 1083, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1065 and 1083.

How to find the GCF of 1065 and 1083?

We will first find the prime factorization of 1065 and 1083. After we will calculate the factors of 1065 and 1083 and find the biggest common factor number .

Step-1: Prime Factorization of 1065

Prime factors of 1065 are 3, 5, 71. Prime factorization of 1065 in exponential form is:

1065 = 3¹ × 5¹ × 71¹

Step-2: Prime Factorization of 1083

Prime factors of 1083 are 3, 19. Prime factorization of 1083 in exponential form is:

1083 = 3¹ × 19²

Step-3: Factors of 1065

List of positive integer factors of 1065 that divides 1065 without a remainder.

1, 3, 5, 15, 71, 213, 355

Step-4: Factors of 1083

List of positive integer factors of 1083 that divides 1065 without a remainder.

1, 3, 19, 57, 361

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1065 and 1083. The biggest common factor number is the GCF number.
So the greatest common factor 1065 and 1083 is 3.

Also check out the Least Common Multiple of 1065 and 1083