What is the Greatest Common Factor of 27888 and 27906?

Greatest common factor (GCF) of 27888 and 27906 is 6.

GCF(27888,27906) = 6

We will now calculate the prime factors of 27888 and 27906, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27888 and 27906.

How to find the GCF of 27888 and 27906?

We will first find the prime factorization of 27888 and 27906. After we will calculate the factors of 27888 and 27906 and find the biggest common factor number .

Step-1: Prime Factorization of 27888

Prime factors of 27888 are 2, 3, 7, 83. Prime factorization of 27888 in exponential form is:

27888 = 2⁴ × 3¹ × 7¹ × 83¹

Step-2: Prime Factorization of 27906

Prime factors of 27906 are 2, 3, 4651. Prime factorization of 27906 in exponential form is:

27906 = 2¹ × 3¹ × 4651¹

Step-3: Factors of 27888

List of positive integer factors of 27888 that divides 27888 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 83, 84, 112, 166, 168, 249, 332, 336, 498, 581, 664, 996, 1162, 1328, 1743, 1992, 2324, 3486, 3984, 4648, 6972, 9296, 13944

Step-4: Factors of 27906

List of positive integer factors of 27906 that divides 27888 without a remainder.

1, 2, 3, 6, 4651, 9302, 13953

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27888 and 27906. The biggest common factor number is the GCF number.
So the greatest common factor 27888 and 27906 is 6.

Also check out the Least Common Multiple of 27888 and 27906