What is the Greatest Common Factor of 26889 and 26904?

Greatest common factor (GCF) of 26889 and 26904 is 3.

GCF(26889,26904) = 3

We will now calculate the prime factors of 26889 and 26904, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26889 and 26904.

How to find the GCF of 26889 and 26904?

We will first find the prime factorization of 26889 and 26904. After we will calculate the factors of 26889 and 26904 and find the biggest common factor number .

Step-1: Prime Factorization of 26889

Prime factors of 26889 are 3, 8963. Prime factorization of 26889 in exponential form is:

26889 = 3¹ × 8963¹

Step-2: Prime Factorization of 26904

Prime factors of 26904 are 2, 3, 19, 59. Prime factorization of 26904 in exponential form is:

26904 = 2³ × 3¹ × 19¹ × 59¹

Step-3: Factors of 26889

List of positive integer factors of 26889 that divides 26889 without a remainder.

1, 3, 8963

Step-4: Factors of 26904

List of positive integer factors of 26904 that divides 26889 without a remainder.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 59, 76, 114, 118, 152, 177, 228, 236, 354, 456, 472, 708, 1121, 1416, 2242, 3363, 4484, 6726, 8968, 13452

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26889 and 26904. The biggest common factor number is the GCF number.
So the greatest common factor 26889 and 26904 is 3.

Also check out the Least Common Multiple of 26889 and 26904