What is the Greatest Common Factor of 27776 and 27786?

Greatest common factor (GCF) of 27776 and 27786 is 2.

GCF(27776,27786) = 2

We will now calculate the prime factors of 27776 and 27786, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27776 and 27786.

How to find the GCF of 27776 and 27786?

We will first find the prime factorization of 27776 and 27786. After we will calculate the factors of 27776 and 27786 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 27786

Prime factors of 27786 are 2, 3, 11, 421. Prime factorization of 27786 in exponential form is:

27786 = 2¹ × 3¹ × 11¹ × 421¹

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 27786

List of positive integer factors of 27786 that divides 27776 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 421, 842, 1263, 2526, 4631, 9262, 13893

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27776 and 27786. The biggest common factor number is the GCF number.
So the greatest common factor 27776 and 27786 is 2.

Also check out the Least Common Multiple of 27776 and 27786