What is the Greatest Common Factor of 27065 and 27083?

Greatest common factor (GCF) of 27065 and 27083 is 1.

GCF(27065,27083) = 1

We will now calculate the prime factors of 27065 and 27083, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27065 and 27083.

How to find the GCF of 27065 and 27083?

We will first find the prime factorization of 27065 and 27083. After we will calculate the factors of 27065 and 27083 and find the biggest common factor number .

Step-1: Prime Factorization of 27065

Prime factors of 27065 are 5, 5413. Prime factorization of 27065 in exponential form is:

27065 = 5¹ × 5413¹

Step-2: Prime Factorization of 27083

Prime factors of 27083 are 7, 53, 73. Prime factorization of 27083 in exponential form is:

27083 = 7¹ × 53¹ × 73¹

Step-3: Factors of 27065

List of positive integer factors of 27065 that divides 27065 without a remainder.

1, 5, 5413

Step-4: Factors of 27083

List of positive integer factors of 27083 that divides 27065 without a remainder.

1, 7, 53, 73, 371, 511, 3869

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27065 and 27083. The biggest common factor number is the GCF number.
So the greatest common factor 27065 and 27083 is 1.

Also check out the Least Common Multiple of 27065 and 27083