What is the Greatest Common Factor of 27342 and 27346?

Greatest common factor (GCF) of 27342 and 27346 is 2.

GCF(27342,27346) = 2

We will now calculate the prime factors of 27342 and 27346, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27342 and 27346.

How to find the GCF of 27342 and 27346?

We will first find the prime factorization of 27342 and 27346. After we will calculate the factors of 27342 and 27346 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 27346

Prime factors of 27346 are 2, 11, 113. Prime factorization of 27346 in exponential form is:

27346 = 2¹ × 11² × 113¹

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 27346

List of positive integer factors of 27346 that divides 27342 without a remainder.

1, 2, 11, 22, 113, 121, 226, 242, 1243, 2486, 13673

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27342 and 27346. The biggest common factor number is the GCF number.
So the greatest common factor 27342 and 27346 is 2.

Also check out the Least Common Multiple of 27342 and 27346