What is the Greatest Common Factor of 26025 and 26037?

Greatest common factor (GCF) of 26025 and 26037 is 3.

GCF(26025,26037) = 3

We will now calculate the prime factors of 26025 and 26037, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26025 and 26037.

How to find the GCF of 26025 and 26037?

We will first find the prime factorization of 26025 and 26037. After we will calculate the factors of 26025 and 26037 and find the biggest common factor number .

Step-1: Prime Factorization of 26025

Prime factors of 26025 are 3, 5, 347. Prime factorization of 26025 in exponential form is:

26025 = 3¹ × 5² × 347¹

Step-2: 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-3: Factors of 26025

List of positive integer factors of 26025 that divides 26025 without a remainder.

1, 3, 5, 15, 25, 75, 347, 1041, 1735, 5205, 8675

Step-4: Factors of 26037

List of positive integer factors of 26037 that divides 26025 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26025 and 26037. The biggest common factor number is the GCF number.
So the greatest common factor 26025 and 26037 is 3.

Also check out the Least Common Multiple of 26025 and 26037