What is the Greatest Common Factor of 27342 and 27362?

Greatest common factor (GCF) of 27342 and 27362 is 2.

GCF(27342,27362) = 2

We will now calculate the prime factors of 27342 and 27362, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27342 and 27362.

How to find the GCF of 27342 and 27362?

We will first find the prime factorization of 27342 and 27362. After we will calculate the factors of 27342 and 27362 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 27362

Prime factors of 27362 are 2, 13681. Prime factorization of 27362 in exponential form is:

27362 = 2¹ × 13681¹

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 27362

List of positive integer factors of 27362 that divides 27342 without a remainder.

1, 2, 13681

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27342 and 27362. The biggest common factor number is the GCF number.
So the greatest common factor 27342 and 27362 is 2.

Also check out the Least Common Multiple of 27342 and 27362