What is the Greatest Common Factor of 27962 and 27976?

Greatest common factor (GCF) of 27962 and 27976 is 2.

GCF(27962,27976) = 2

We will now calculate the prime factors of 27962 and 27976, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27962 and 27976.

How to find the GCF of 27962 and 27976?

We will first find the prime factorization of 27962 and 27976. After we will calculate the factors of 27962 and 27976 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 27976

Prime factors of 27976 are 2, 13, 269. Prime factorization of 27976 in exponential form is:

27976 = 2³ × 13¹ × 269¹

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 27976

List of positive integer factors of 27976 that divides 27962 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104, 269, 538, 1076, 2152, 3497, 6994, 13988

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27962 and 27976. The biggest common factor number is the GCF number.
So the greatest common factor 27962 and 27976 is 2.

Also check out the Least Common Multiple of 27962 and 27976