What is the Greatest Common Factor of 27776 and 27784?

Greatest common factor (GCF) of 27776 and 27784 is 8.

GCF(27776,27784) = 8

We will now calculate the prime factors of 27776 and 27784, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27776 and 27784.

How to find the GCF of 27776 and 27784?

We will first find the prime factorization of 27776 and 27784. After we will calculate the factors of 27776 and 27784 and find the biggest common factor number .

Step-1: Prime Factorization of 27776

Prime factors of 27776 are 2, 7, 31. Prime factorization of 27776 in exponential form is:

27776 = 2⁷ × 7¹ × 31¹

Step-2: 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-3: Factors of 27776

List of positive integer factors of 27776 that divides 27776 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 31, 32, 56, 62, 64, 112, 124, 128, 217, 224, 248, 434, 448, 496, 868, 896, 992, 1736, 1984, 3472, 3968, 6944, 13888

Step-4: Factors of 27784

List of positive integer factors of 27784 that divides 27776 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27776 and 27784. The biggest common factor number is the GCF number.
So the greatest common factor 27776 and 27784 is 8.

Also check out the Least Common Multiple of 27776 and 27784