What is the Greatest Common Factor of 26037 and 26049?

Greatest common factor (GCF) of 26037 and 26049 is 3.

GCF(26037,26049) = 3

We will now calculate the prime factors of 26037 and 26049, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26037 and 26049.

How to find the GCF of 26037 and 26049?

We will first find the prime factorization of 26037 and 26049. After we will calculate the factors of 26037 and 26049 and find the biggest common factor number .

Step-1: Prime Factorization of 26037

Prime factors of 26037 are 3, 11, 263. Prime factorization of 26037 in exponential form is:

26037 = 3² × 11¹ × 263¹

Step-2: Prime Factorization of 26049

Prime factors of 26049 are 3, 19, 457. Prime factorization of 26049 in exponential form is:

26049 = 3¹ × 19¹ × 457¹

Step-3: Factors of 26037

List of positive integer factors of 26037 that divides 26037 without a remainder.

1, 3, 9, 11, 33, 99, 263, 789, 2367, 2893, 8679

Step-4: Factors of 26049

List of positive integer factors of 26049 that divides 26037 without a remainder.

1, 3, 19, 57, 457, 1371, 8683

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26037 and 26049. The biggest common factor number is the GCF number.
So the greatest common factor 26037 and 26049 is 3.

Also check out the Least Common Multiple of 26037 and 26049