What is the Greatest Common Factor of 26994 and 26998?

Greatest common factor (GCF) of 26994 and 26998 is 2.

GCF(26994,26998) = 2

We will now calculate the prime factors of 26994 and 26998, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26994 and 26998.

How to find the GCF of 26994 and 26998?

We will first find the prime factorization of 26994 and 26998. After we will calculate the factors of 26994 and 26998 and find the biggest common factor number .

Step-1: Prime Factorization of 26994

Prime factors of 26994 are 2, 3, 11, 409. Prime factorization of 26994 in exponential form is:

26994 = 2¹ × 3¹ × 11¹ × 409¹

Step-2: Prime Factorization of 26998

Prime factors of 26998 are 2, 13499. Prime factorization of 26998 in exponential form is:

26998 = 2¹ × 13499¹

Step-3: Factors of 26994

List of positive integer factors of 26994 that divides 26994 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 409, 818, 1227, 2454, 4499, 8998, 13497

Step-4: Factors of 26998

List of positive integer factors of 26998 that divides 26994 without a remainder.

1, 2, 13499

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26994 and 26998. The biggest common factor number is the GCF number.
So the greatest common factor 26994 and 26998 is 2.

Also check out the Least Common Multiple of 26994 and 26998