What is the Greatest Common Factor of 27761 and 27778?

Greatest common factor (GCF) of 27761 and 27778 is 17.

GCF(27761,27778) = 17

We will now calculate the prime factors of 27761 and 27778, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27761 and 27778.

How to find the GCF of 27761 and 27778?

We will first find the prime factorization of 27761 and 27778. After we will calculate the factors of 27761 and 27778 and find the biggest common factor number .

Step-1: Prime Factorization of 27761

Prime factors of 27761 are 17, 23, 71. Prime factorization of 27761 in exponential form is:

27761 = 17¹ × 23¹ × 71¹

Step-2: Prime Factorization of 27778

Prime factors of 27778 are 2, 17, 19, 43. Prime factorization of 27778 in exponential form is:

27778 = 2¹ × 17¹ × 19¹ × 43¹

Step-3: Factors of 27761

List of positive integer factors of 27761 that divides 27761 without a remainder.

1, 17, 23, 71, 391, 1207, 1633

Step-4: Factors of 27778

List of positive integer factors of 27778 that divides 27761 without a remainder.

1, 2, 17, 19, 34, 38, 43, 86, 323, 646, 731, 817, 1462, 1634, 13889

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27761 and 27778. The biggest common factor number is the GCF number.
So the greatest common factor 27761 and 27778 is 17.

Also check out the Least Common Multiple of 27761 and 27778