What is the Greatest Common Factor of 27834 and 27848?

Greatest common factor (GCF) of 27834 and 27848 is 2.

GCF(27834,27848) = 2

We will now calculate the prime factors of 27834 and 27848, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27834 and 27848.

How to find the GCF of 27834 and 27848?

We will first find the prime factorization of 27834 and 27848. After we will calculate the factors of 27834 and 27848 and find the biggest common factor number .

Step-1: Prime Factorization of 27834

Prime factors of 27834 are 2, 3, 4639. Prime factorization of 27834 in exponential form is:

27834 = 2¹ × 3¹ × 4639¹

Step-2: Prime Factorization of 27848

Prime factors of 27848 are 2, 59. Prime factorization of 27848 in exponential form is:

27848 = 2³ × 59²

Step-3: Factors of 27834

List of positive integer factors of 27834 that divides 27834 without a remainder.

1, 2, 3, 6, 4639, 9278, 13917

Step-4: Factors of 27848

List of positive integer factors of 27848 that divides 27834 without a remainder.

1, 2, 4, 8, 59, 118, 236, 472, 3481, 6962, 13924

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27834 and 27848. The biggest common factor number is the GCF number.
So the greatest common factor 27834 and 27848 is 2.

Also check out the Least Common Multiple of 27834 and 27848