What is the Greatest Common Factor of 36519 and 36537?

Greatest common factor (GCF) of 36519 and 36537 is 3.

GCF(36519,36537) = 3

We will now calculate the prime factors of 36519 and 36537, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36519 and 36537.

How to find the GCF of 36519 and 36537?

We will first find the prime factorization of 36519 and 36537. After we will calculate the factors of 36519 and 36537 and find the biggest common factor number .

Step-1: Prime Factorization of 36519

Prime factors of 36519 are 3, 7, 37, 47. Prime factorization of 36519 in exponential form is:

36519 = 3¹ × 7¹ × 37¹ × 47¹

Step-2: Prime Factorization of 36537

Prime factors of 36537 are 3, 19, 641. Prime factorization of 36537 in exponential form is:

36537 = 3¹ × 19¹ × 641¹

Step-3: Factors of 36519

List of positive integer factors of 36519 that divides 36519 without a remainder.

1, 3, 7, 21, 37, 47, 111, 141, 259, 329, 777, 987, 1739, 5217, 12173

Step-4: Factors of 36537

List of positive integer factors of 36537 that divides 36519 without a remainder.

1, 3, 19, 57, 641, 1923, 12179

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36519 and 36537. The biggest common factor number is the GCF number.
So the greatest common factor 36519 and 36537 is 3.

Also check out the Least Common Multiple of 36519 and 36537