What is the Greatest Common Factor of 26992 and 27006?

Greatest common factor (GCF) of 26992 and 27006 is 14.

GCF(26992,27006) = 14

We will now calculate the prime factors of 26992 and 27006, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26992 and 27006.

How to find the GCF of 26992 and 27006?

We will first find the prime factorization of 26992 and 27006. After we will calculate the factors of 26992 and 27006 and find the biggest common factor number .

Step-1: Prime Factorization of 26992

Prime factors of 26992 are 2, 7, 241. Prime factorization of 26992 in exponential form is:

26992 = 2⁴ × 7¹ × 241¹

Step-2: Prime Factorization of 27006

Prime factors of 27006 are 2, 3, 7, 643. Prime factorization of 27006 in exponential form is:

27006 = 2¹ × 3¹ × 7¹ × 643¹

Step-3: Factors of 26992

List of positive integer factors of 26992 that divides 26992 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 241, 482, 964, 1687, 1928, 3374, 3856, 6748, 13496

Step-4: Factors of 27006

List of positive integer factors of 27006 that divides 26992 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 643, 1286, 1929, 3858, 4501, 9002, 13503

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26992 and 27006. The biggest common factor number is the GCF number.
So the greatest common factor 26992 and 27006 is 14.

Also check out the Least Common Multiple of 26992 and 27006