What is the Greatest Common Factor of 26525 and 26535?

Greatest common factor (GCF) of 26525 and 26535 is 5.

GCF(26525,26535) = 5

We will now calculate the prime factors of 26525 and 26535, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26525 and 26535.

How to find the GCF of 26525 and 26535?

We will first find the prime factorization of 26525 and 26535. After we will calculate the factors of 26525 and 26535 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 26535

Prime factors of 26535 are 3, 5, 29, 61. Prime factorization of 26535 in exponential form is:

26535 = 3¹ × 5¹ × 29¹ × 61¹

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 26535

List of positive integer factors of 26535 that divides 26525 without a remainder.

1, 3, 5, 15, 29, 61, 87, 145, 183, 305, 435, 915, 1769, 5307, 8845

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26525 and 26535. The biggest common factor number is the GCF number.
So the greatest common factor 26525 and 26535 is 5.

Also check out the Least Common Multiple of 26525 and 26535