What is the Greatest Common Factor of 27454 and 27467?

Greatest common factor (GCF) of 27454 and 27467 is 1.

GCF(27454,27467) = 1

We will now calculate the prime factors of 27454 and 27467, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27454 and 27467.

How to find the GCF of 27454 and 27467?

We will first find the prime factorization of 27454 and 27467. After we will calculate the factors of 27454 and 27467 and find the biggest common factor number .

Step-1: Prime Factorization of 27454

Prime factors of 27454 are 2, 7, 37, 53. Prime factorization of 27454 in exponential form is:

27454 = 2¹ × 7¹ × 37¹ × 53¹

Step-2: Prime Factorization of 27467

Prime factors of 27467 are 11, 227. Prime factorization of 27467 in exponential form is:

27467 = 11² × 227¹

Step-3: Factors of 27454

List of positive integer factors of 27454 that divides 27454 without a remainder.

1, 2, 7, 14, 37, 53, 74, 106, 259, 371, 518, 742, 1961, 3922, 13727

Step-4: Factors of 27467

List of positive integer factors of 27467 that divides 27454 without a remainder.

1, 11, 121, 227, 2497

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27454 and 27467. The biggest common factor number is the GCF number.
So the greatest common factor 27454 and 27467 is 1.

Also check out the Least Common Multiple of 27454 and 27467