What is the Greatest Common Factor of 26025 and 26032?

Greatest common factor (GCF) of 26025 and 26032 is 1.

GCF(26025,26032) = 1

We will now calculate the prime factors of 26025 and 26032, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26025 and 26032.

How to find the GCF of 26025 and 26032?

We will first find the prime factorization of 26025 and 26032. After we will calculate the factors of 26025 and 26032 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 26032

Prime factors of 26032 are 2, 1627. Prime factorization of 26032 in exponential form is:

26032 = 2⁴ × 1627¹

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 26032

List of positive integer factors of 26032 that divides 26025 without a remainder.

1, 2, 4, 8, 16, 1627, 3254, 6508, 13016

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26025 and 26032. The biggest common factor number is the GCF number.
So the greatest common factor 26025 and 26032 is 1.

Also check out the Least Common Multiple of 26025 and 26032