What is the Greatest Common Factor of 26025 and 26030?

Greatest common factor (GCF) of 26025 and 26030 is 5.

GCF(26025,26030) = 5

We will now calculate the prime factors of 26025 and 26030, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26025 and 26030.

How to find the GCF of 26025 and 26030?

We will first find the prime factorization of 26025 and 26030. After we will calculate the factors of 26025 and 26030 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 26030

Prime factors of 26030 are 2, 5, 19, 137. Prime factorization of 26030 in exponential form is:

26030 = 2¹ × 5¹ × 19¹ × 137¹

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 26030

List of positive integer factors of 26030 that divides 26025 without a remainder.

1, 2, 5, 10, 19, 38, 95, 137, 190, 274, 685, 1370, 2603, 5206, 13015

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26025 and 26030. The biggest common factor number is the GCF number.
So the greatest common factor 26025 and 26030 is 5.

Also check out the Least Common Multiple of 26025 and 26030