What is the Greatest Common Factor of 27438 and 27457?

Greatest common factor (GCF) of 27438 and 27457 is 1.

GCF(27438,27457) = 1

We will now calculate the prime factors of 27438 and 27457, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27438 and 27457.

How to find the GCF of 27438 and 27457?

We will first find the prime factorization of 27438 and 27457. After we will calculate the factors of 27438 and 27457 and find the biggest common factor number .

Step-1: Prime Factorization of 27438

Prime factors of 27438 are 2, 3, 17, 269. Prime factorization of 27438 in exponential form is:

27438 = 2¹ × 3¹ × 17¹ × 269¹

Step-2: Prime Factorization of 27457

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

27457 = 27457¹

Step-3: Factors of 27438

List of positive integer factors of 27438 that divides 27438 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102, 269, 538, 807, 1614, 4573, 9146, 13719

Step-4: Factors of 27457

List of positive integer factors of 27457 that divides 27438 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27438 and 27457. The biggest common factor number is the GCF number.
So the greatest common factor 27438 and 27457 is 1.

Also check out the Least Common Multiple of 27438 and 27457