What is the Greatest Common Factor of 1065 and 1081?

Greatest common factor (GCF) of 1065 and 1081 is 1.

GCF(1065,1081) = 1

We will now calculate the prime factors of 1065 and 1081, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1065 and 1081.

How to find the GCF of 1065 and 1081?

We will first find the prime factorization of 1065 and 1081. After we will calculate the factors of 1065 and 1081 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 1081

Prime factors of 1081 are 23, 47. Prime factorization of 1081 in exponential form is:

1081 = 23¹ × 47¹

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 1081

List of positive integer factors of 1081 that divides 1065 without a remainder.

1, 23, 47

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1065 and 1081. The biggest common factor number is the GCF number.
So the greatest common factor 1065 and 1081 is 1.

Also check out the Least Common Multiple of 1065 and 1081