What is the Greatest Common Factor of 27928 and 27942?

Greatest common factor (GCF) of 27928 and 27942 is 2.

GCF(27928,27942) = 2

We will now calculate the prime factors of 27928 and 27942, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27928 and 27942.

How to find the GCF of 27928 and 27942?

We will first find the prime factorization of 27928 and 27942. After we will calculate the factors of 27928 and 27942 and find the biggest common factor number .

Step-1: Prime Factorization of 27928

Prime factors of 27928 are 2, 3491. Prime factorization of 27928 in exponential form is:

27928 = 2³ × 3491¹

Step-2: Prime Factorization of 27942

Prime factors of 27942 are 2, 3, 4657. Prime factorization of 27942 in exponential form is:

27942 = 2¹ × 3¹ × 4657¹

Step-3: Factors of 27928

List of positive integer factors of 27928 that divides 27928 without a remainder.

1, 2, 4, 8, 3491, 6982, 13964

Step-4: Factors of 27942

List of positive integer factors of 27942 that divides 27928 without a remainder.

1, 2, 3, 6, 4657, 9314, 13971

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27928 and 27942. The biggest common factor number is the GCF number.
So the greatest common factor 27928 and 27942 is 2.

Also check out the Least Common Multiple of 27928 and 27942