What is the Greatest Common Factor of 26505 and 26524?

Greatest common factor (GCF) of 26505 and 26524 is 19.

GCF(26505,26524) = 19

We will now calculate the prime factors of 26505 and 26524, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26505 and 26524.

How to find the GCF of 26505 and 26524?

We will first find the prime factorization of 26505 and 26524. After we will calculate the factors of 26505 and 26524 and find the biggest common factor number .

Step-1: Prime Factorization of 26505

Prime factors of 26505 are 3, 5, 19, 31. Prime factorization of 26505 in exponential form is:

26505 = 3² × 5¹ × 19¹ × 31¹

Step-2: Prime Factorization of 26524

Prime factors of 26524 are 2, 19, 349. Prime factorization of 26524 in exponential form is:

26524 = 2² × 19¹ × 349¹

Step-3: Factors of 26505

List of positive integer factors of 26505 that divides 26505 without a remainder.

1, 3, 5, 9, 15, 19, 31, 45, 57, 93, 95, 155, 171, 279, 285, 465, 589, 855, 1395, 1767, 2945, 5301, 8835

Step-4: Factors of 26524

List of positive integer factors of 26524 that divides 26505 without a remainder.

1, 2, 4, 19, 38, 76, 349, 698, 1396, 6631, 13262

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26505 and 26524. The biggest common factor number is the GCF number.
So the greatest common factor 26505 and 26524 is 19.

Also check out the Least Common Multiple of 26505 and 26524