What is the Greatest Common Factor of 27966 and 27975?

Greatest common factor (GCF) of 27966 and 27975 is 3.

GCF(27966,27975) = 3

We will now calculate the prime factors of 27966 and 27975, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27966 and 27975.

How to find the GCF of 27966 and 27975?

We will first find the prime factorization of 27966 and 27975. After we will calculate the factors of 27966 and 27975 and find the biggest common factor number .

Step-1: Prime Factorization of 27966

Prime factors of 27966 are 2, 3, 59, 79. Prime factorization of 27966 in exponential form is:

27966 = 2¹ × 3¹ × 59¹ × 79¹

Step-2: Prime Factorization of 27975

Prime factors of 27975 are 3, 5, 373. Prime factorization of 27975 in exponential form is:

27975 = 3¹ × 5² × 373¹

Step-3: Factors of 27966

List of positive integer factors of 27966 that divides 27966 without a remainder.

1, 2, 3, 6, 59, 79, 118, 158, 177, 237, 354, 474, 4661, 9322, 13983

Step-4: Factors of 27975

List of positive integer factors of 27975 that divides 27966 without a remainder.

1, 3, 5, 15, 25, 75, 373, 1119, 1865, 5595, 9325

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27966 and 27975. The biggest common factor number is the GCF number.
So the greatest common factor 27966 and 27975 is 3.

Also check out the Least Common Multiple of 27966 and 27975