What is the Greatest Common Factor of 26985 and 26994?

Greatest common factor (GCF) of 26985 and 26994 is 3.

GCF(26985,26994) = 3

We will now calculate the prime factors of 26985 and 26994, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26985 and 26994.

How to find the GCF of 26985 and 26994?

We will first find the prime factorization of 26985 and 26994. After we will calculate the factors of 26985 and 26994 and find the biggest common factor number .

Step-1: Prime Factorization of 26985

Prime factors of 26985 are 3, 5, 7, 257. Prime factorization of 26985 in exponential form is:

26985 = 3¹ × 5¹ × 7¹ × 257¹

Step-2: 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-3: Factors of 26985

List of positive integer factors of 26985 that divides 26985 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105, 257, 771, 1285, 1799, 3855, 5397, 8995

Step-4: Factors of 26994

List of positive integer factors of 26994 that divides 26985 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26985 and 26994. The biggest common factor number is the GCF number.
So the greatest common factor 26985 and 26994 is 3.

Also check out the Least Common Multiple of 26985 and 26994