What is the Greatest Common Factor of 36509 and 36524?

Greatest common factor (GCF) of 36509 and 36524 is 1.

GCF(36509,36524) = 1

We will now calculate the prime factors of 36509 and 36524, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36509 and 36524.

How to find the GCF of 36509 and 36524?

We will first find the prime factorization of 36509 and 36524. After we will calculate the factors of 36509 and 36524 and find the biggest common factor number .

Step-1: Prime Factorization of 36509

Prime factors of 36509 are 11, 3319. Prime factorization of 36509 in exponential form is:

36509 = 11¹ × 3319¹

Step-2: Prime Factorization of 36524

Prime factors of 36524 are 2, 23, 397. Prime factorization of 36524 in exponential form is:

36524 = 2² × 23¹ × 397¹

Step-3: Factors of 36509

List of positive integer factors of 36509 that divides 36509 without a remainder.

1, 11, 3319

Step-4: Factors of 36524

List of positive integer factors of 36524 that divides 36509 without a remainder.

1, 2, 4, 23, 46, 92, 397, 794, 1588, 9131, 18262

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36509 and 36524. The biggest common factor number is the GCF number.
So the greatest common factor 36509 and 36524 is 1.

Also check out the Least Common Multiple of 36509 and 36524