What is the Greatest Common Factor of 27768 and 27788?

Greatest common factor (GCF) of 27768 and 27788 is 4.

GCF(27768,27788) = 4

We will now calculate the prime factors of 27768 and 27788, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27768 and 27788.

How to find the GCF of 27768 and 27788?

We will first find the prime factorization of 27768 and 27788. After we will calculate the factors of 27768 and 27788 and find the biggest common factor number .

Step-1: Prime Factorization of 27768

Prime factors of 27768 are 2, 3, 13, 89. Prime factorization of 27768 in exponential form is:

27768 = 2³ × 3¹ × 13¹ × 89¹

Step-2: Prime Factorization of 27788

Prime factors of 27788 are 2, 6947. Prime factorization of 27788 in exponential form is:

27788 = 2² × 6947¹

Step-3: Factors of 27768

List of positive integer factors of 27768 that divides 27768 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 89, 104, 156, 178, 267, 312, 356, 534, 712, 1068, 1157, 2136, 2314, 3471, 4628, 6942, 9256, 13884

Step-4: Factors of 27788

List of positive integer factors of 27788 that divides 27768 without a remainder.

1, 2, 4, 6947, 13894

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27768 and 27788. The biggest common factor number is the GCF number.
So the greatest common factor 27768 and 27788 is 4.

Also check out the Least Common Multiple of 27768 and 27788