What is the Greatest Common Factor of 26988 and 27004?

Greatest common factor (GCF) of 26988 and 27004 is 4.

GCF(26988,27004) = 4

We will now calculate the prime factors of 26988 and 27004, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26988 and 27004.

How to find the GCF of 26988 and 27004?

We will first find the prime factorization of 26988 and 27004. After we will calculate the factors of 26988 and 27004 and find the biggest common factor number .

Step-1: Prime Factorization of 26988

Prime factors of 26988 are 2, 3, 13, 173. Prime factorization of 26988 in exponential form is:

26988 = 2² × 3¹ × 13¹ × 173¹

Step-2: Prime Factorization of 27004

Prime factors of 27004 are 2, 43, 157. Prime factorization of 27004 in exponential form is:

27004 = 2² × 43¹ × 157¹

Step-3: Factors of 26988

List of positive integer factors of 26988 that divides 26988 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156, 173, 346, 519, 692, 1038, 2076, 2249, 4498, 6747, 8996, 13494

Step-4: Factors of 27004

List of positive integer factors of 27004 that divides 26988 without a remainder.

1, 2, 4, 43, 86, 157, 172, 314, 628, 6751, 13502

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26988 and 27004. The biggest common factor number is the GCF number.
So the greatest common factor 26988 and 27004 is 4.

Also check out the Least Common Multiple of 26988 and 27004