What is the Greatest Common Factor of 27642 and 27656?

Greatest common factor (GCF) of 27642 and 27656 is 2.

GCF(27642,27656) = 2

We will now calculate the prime factors of 27642 and 27656, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27642 and 27656.

How to find the GCF of 27642 and 27656?

We will first find the prime factorization of 27642 and 27656. After we will calculate the factors of 27642 and 27656 and find the biggest common factor number .

Step-1: Prime Factorization of 27642

Prime factors of 27642 are 2, 3, 17, 271. Prime factorization of 27642 in exponential form is:

27642 = 2¹ × 3¹ × 17¹ × 271¹

Step-2: Prime Factorization of 27656

Prime factors of 27656 are 2, 3457. Prime factorization of 27656 in exponential form is:

27656 = 2³ × 3457¹

Step-3: Factors of 27642

List of positive integer factors of 27642 that divides 27642 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102, 271, 542, 813, 1626, 4607, 9214, 13821

Step-4: Factors of 27656

List of positive integer factors of 27656 that divides 27642 without a remainder.

1, 2, 4, 8, 3457, 6914, 13828

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27642 and 27656. The biggest common factor number is the GCF number.
So the greatest common factor 27642 and 27656 is 2.

Also check out the Least Common Multiple of 27642 and 27656