What is the Greatest Common Factor of 27457 and 27465?

Greatest common factor (GCF) of 27457 and 27465 is 1.

GCF(27457,27465) = 1

We will now calculate the prime factors of 27457 and 27465, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27457 and 27465.

How to find the GCF of 27457 and 27465?

We will first find the prime factorization of 27457 and 27465. After we will calculate the factors of 27457 and 27465 and find the biggest common factor number .

Step-1: Prime Factorization of 27457

Prime factors of 27457 are 27457. Prime factorization of 27457 in exponential form is:

27457 = 27457¹

Step-2: Prime Factorization of 27465

Prime factors of 27465 are 3, 5, 1831. Prime factorization of 27465 in exponential form is:

27465 = 3¹ × 5¹ × 1831¹

Step-3: Factors of 27457

List of positive integer factors of 27457 that divides 27457 without a remainder.

Step-4: Factors of 27465

List of positive integer factors of 27465 that divides 27457 without a remainder.

1, 3, 5, 15, 1831, 5493, 9155

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27457 and 27465. The biggest common factor number is the GCF number.
So the greatest common factor 27457 and 27465 is 1.

Also check out the Least Common Multiple of 27457 and 27465