What is the Greatest Common Factor of 27401 and 27420?

Greatest common factor (GCF) of 27401 and 27420 is 1.

GCF(27401,27420) = 1

We will now calculate the prime factors of 27401 and 27420, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27401 and 27420.

How to find the GCF of 27401 and 27420?

We will first find the prime factorization of 27401 and 27420. After we will calculate the factors of 27401 and 27420 and find the biggest common factor number .

Step-1: Prime Factorization of 27401

Prime factors of 27401 are 11, 47, 53. Prime factorization of 27401 in exponential form is:

27401 = 11¹ × 47¹ × 53¹

Step-2: Prime Factorization of 27420

Prime factors of 27420 are 2, 3, 5, 457. Prime factorization of 27420 in exponential form is:

27420 = 2² × 3¹ × 5¹ × 457¹

Step-3: Factors of 27401

List of positive integer factors of 27401 that divides 27401 without a remainder.

1, 11, 47, 53, 517, 583, 2491

Step-4: Factors of 27420

List of positive integer factors of 27420 that divides 27401 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 457, 914, 1371, 1828, 2285, 2742, 4570, 5484, 6855, 9140, 13710

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27401 and 27420. The biggest common factor number is the GCF number.
So the greatest common factor 27401 and 27420 is 1.

Also check out the Least Common Multiple of 27401 and 27420