What is the Greatest Common Factor of 26019 and 26025?

Greatest common factor (GCF) of 26019 and 26025 is 3.

GCF(26019,26025) = 3

We will now calculate the prime factors of 26019 and 26025, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26019 and 26025.

How to find the GCF of 26019 and 26025?

We will first find the prime factorization of 26019 and 26025. After we will calculate the factors of 26019 and 26025 and find the biggest common factor number .

Step-1: Prime Factorization of 26019

Prime factors of 26019 are 3, 7, 59. Prime factorization of 26019 in exponential form is:

26019 = 3² × 7² × 59¹

Step-2: 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-3: Factors of 26019

List of positive integer factors of 26019 that divides 26019 without a remainder.

1, 3, 7, 9, 21, 49, 59, 63, 147, 177, 413, 441, 531, 1239, 2891, 3717, 8673

Step-4: Factors of 26025

List of positive integer factors of 26025 that divides 26019 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26019 and 26025. The biggest common factor number is the GCF number.
So the greatest common factor 26019 and 26025 is 3.

Also check out the Least Common Multiple of 26019 and 26025