What is the Greatest Common Factor of 27342 and 27355?

Greatest common factor (GCF) of 27342 and 27355 is 1.

GCF(27342,27355) = 1

We will now calculate the prime factors of 27342 and 27355, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27342 and 27355.

How to find the GCF of 27342 and 27355?

We will first find the prime factorization of 27342 and 27355. After we will calculate the factors of 27342 and 27355 and find the biggest common factor number .

Step-1: Prime Factorization of 27342

Prime factors of 27342 are 2, 3, 7, 31. Prime factorization of 27342 in exponential form is:

27342 = 2¹ × 3² × 7² × 31¹

Step-2: Prime Factorization of 27355

Prime factors of 27355 are 5, 5471. Prime factorization of 27355 in exponential form is:

27355 = 5¹ × 5471¹

Step-3: Factors of 27342

List of positive integer factors of 27342 that divides 27342 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 31, 42, 49, 62, 63, 93, 98, 126, 147, 186, 217, 279, 294, 434, 441, 558, 651, 882, 1302, 1519, 1953, 3038, 3906, 4557, 9114, 13671

Step-4: Factors of 27355

List of positive integer factors of 27355 that divides 27342 without a remainder.

1, 5, 5471

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27342 and 27355. The biggest common factor number is the GCF number.
So the greatest common factor 27342 and 27355 is 1.

Also check out the Least Common Multiple of 27342 and 27355