What is the Greatest Common Factor of 27416 and 27436?

Greatest common factor (GCF) of 27416 and 27436 is 4.

GCF(27416,27436) = 4

We will now calculate the prime factors of 27416 and 27436, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27416 and 27436.

How to find the GCF of 27416 and 27436?

We will first find the prime factorization of 27416 and 27436. After we will calculate the factors of 27416 and 27436 and find the biggest common factor number .

Step-1: Prime Factorization of 27416

Prime factors of 27416 are 2, 23, 149. Prime factorization of 27416 in exponential form is:

27416 = 2³ × 23¹ × 149¹

Step-2: Prime Factorization of 27436

Prime factors of 27436 are 2, 19. Prime factorization of 27436 in exponential form is:

27436 = 2² × 19³

Step-3: Factors of 27416

List of positive integer factors of 27416 that divides 27416 without a remainder.

1, 2, 4, 8, 23, 46, 92, 149, 184, 298, 596, 1192, 3427, 6854, 13708

Step-4: Factors of 27436

List of positive integer factors of 27436 that divides 27416 without a remainder.

1, 2, 4, 19, 38, 76, 361, 722, 1444, 6859, 13718

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27416 and 27436. The biggest common factor number is the GCF number.
So the greatest common factor 27416 and 27436 is 4.

Also check out the Least Common Multiple of 27416 and 27436