What is the Greatest Common Factor of 27962 and 27973?

Greatest common factor (GCF) of 27962 and 27973 is 11.

GCF(27962,27973) = 11

We will now calculate the prime factors of 27962 and 27973, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27962 and 27973.

How to find the GCF of 27962 and 27973?

We will first find the prime factorization of 27962 and 27973. After we will calculate the factors of 27962 and 27973 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 27973

Prime factors of 27973 are 11, 2543. Prime factorization of 27973 in exponential form is:

27973 = 11¹ × 2543¹

Step-3: Factors of 27962

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

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

Step-4: Factors of 27973

List of positive integer factors of 27973 that divides 27962 without a remainder.

1, 11, 2543

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27962 and 27973. The biggest common factor number is the GCF number.
So the greatest common factor 27962 and 27973 is 11.

Also check out the Least Common Multiple of 27962 and 27973