What is the Greatest Common Factor of 1065 and 1082?

Greatest common factor (GCF) of 1065 and 1082 is 1.

GCF(1065,1082) = 1

We will now calculate the prime factors of 1065 and 1082, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1065 and 1082.

How to find the GCF of 1065 and 1082?

We will first find the prime factorization of 1065 and 1082. After we will calculate the factors of 1065 and 1082 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 1082

Prime factors of 1082 are 2, 541. Prime factorization of 1082 in exponential form is:

1082 = 2¹ × 541¹

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 1082

List of positive integer factors of 1082 that divides 1065 without a remainder.

1, 2, 541

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1065 and 1082. The biggest common factor number is the GCF number.
So the greatest common factor 1065 and 1082 is 1.

Also check out the Least Common Multiple of 1065 and 1082