What is the Greatest Common Factor of 26525 and 26545?

Greatest common factor (GCF) of 26525 and 26545 is 5.

GCF(26525,26545) = 5

We will now calculate the prime factors of 26525 and 26545, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26525 and 26545.

How to find the GCF of 26525 and 26545?

We will first find the prime factorization of 26525 and 26545. After we will calculate the factors of 26525 and 26545 and find the biggest common factor number .

Step-1: Prime Factorization of 26525

Prime factors of 26525 are 5, 1061. Prime factorization of 26525 in exponential form is:

26525 = 5² × 1061¹

Step-2: Prime Factorization of 26545

Prime factors of 26545 are 5, 5309. Prime factorization of 26545 in exponential form is:

26545 = 5¹ × 5309¹

Step-3: Factors of 26525

List of positive integer factors of 26525 that divides 26525 without a remainder.

1, 5, 25, 1061, 5305

Step-4: Factors of 26545

List of positive integer factors of 26545 that divides 26525 without a remainder.

1, 5, 5309

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26525 and 26545. The biggest common factor number is the GCF number.
So the greatest common factor 26525 and 26545 is 5.

Also check out the Least Common Multiple of 26525 and 26545