What is the Greatest Common Factor of 27944 and 27962?

Greatest common factor (GCF) of 27944 and 27962 is 2.

GCF(27944,27962) = 2

We will now calculate the prime factors of 27944 and 27962, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27944 and 27962.

How to find the GCF of 27944 and 27962?

We will first find the prime factorization of 27944 and 27962. After we will calculate the factors of 27944 and 27962 and find the biggest common factor number .

Step-1: Prime Factorization of 27944

Prime factors of 27944 are 2, 7, 499. Prime factorization of 27944 in exponential form is:

27944 = 2³ × 7¹ × 499¹

Step-2: Prime Factorization of 27962

Prime factors of 27962 are 2, 11, 31, 41. Prime factorization of 27962 in exponential form is:

27962 = 2¹ × 11¹ × 31¹ × 41¹

Step-3: Factors of 27944

List of positive integer factors of 27944 that divides 27944 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 499, 998, 1996, 3493, 3992, 6986, 13972

Step-4: Factors of 27962

List of positive integer factors of 27962 that divides 27944 without a remainder.

1, 2, 11, 22, 31, 41, 62, 82, 341, 451, 682, 902, 1271, 2542, 13981

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27944 and 27962. The biggest common factor number is the GCF number.
So the greatest common factor 27944 and 27962 is 2.

Also check out the Least Common Multiple of 27944 and 27962