What is the Greatest Common Factor of 27784 and 27792?

Greatest common factor (GCF) of 27784 and 27792 is 8.

GCF(27784,27792) = 8

We will now calculate the prime factors of 27784 and 27792, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27784 and 27792.

How to find the GCF of 27784 and 27792?

We will first find the prime factorization of 27784 and 27792. After we will calculate the factors of 27784 and 27792 and find the biggest common factor number .

Step-1: Prime Factorization of 27784

Prime factors of 27784 are 2, 23, 151. Prime factorization of 27784 in exponential form is:

27784 = 2³ × 23¹ × 151¹

Step-2: Prime Factorization of 27792

Prime factors of 27792 are 2, 3, 193. Prime factorization of 27792 in exponential form is:

27792 = 2⁴ × 3² × 193¹

Step-3: Factors of 27784

List of positive integer factors of 27784 that divides 27784 without a remainder.

1, 2, 4, 8, 23, 46, 92, 151, 184, 302, 604, 1208, 3473, 6946, 13892

Step-4: Factors of 27792

List of positive integer factors of 27792 that divides 27784 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144, 193, 386, 579, 772, 1158, 1544, 1737, 2316, 3088, 3474, 4632, 6948, 9264, 13896

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27784 and 27792. The biggest common factor number is the GCF number.
So the greatest common factor 27784 and 27792 is 8.

Also check out the Least Common Multiple of 27784 and 27792