What is the Greatest Common Factor of 27946 and 27952?

Greatest common factor (GCF) of 27946 and 27952 is 2.

GCF(27946,27952) = 2

We will now calculate the prime factors of 27946 and 27952, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27946 and 27952.

How to find the GCF of 27946 and 27952?

We will first find the prime factorization of 27946 and 27952. After we will calculate the factors of 27946 and 27952 and find the biggest common factor number .

Step-1: Prime Factorization of 27946

Prime factors of 27946 are 2, 89, 157. Prime factorization of 27946 in exponential form is:

27946 = 2¹ × 89¹ × 157¹

Step-2: Prime Factorization of 27952

Prime factors of 27952 are 2, 1747. Prime factorization of 27952 in exponential form is:

27952 = 2⁴ × 1747¹

Step-3: Factors of 27946

List of positive integer factors of 27946 that divides 27946 without a remainder.

1, 2, 89, 157, 178, 314, 13973

Step-4: Factors of 27952

List of positive integer factors of 27952 that divides 27946 without a remainder.

1, 2, 4, 8, 16, 1747, 3494, 6988, 13976

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27946 and 27952. The biggest common factor number is the GCF number.
So the greatest common factor 27946 and 27952 is 2.

Also check out the Least Common Multiple of 27946 and 27952