What is the Greatest Common Factor of 36519 and 36528?

Greatest common factor (GCF) of 36519 and 36528 is 3.

GCF(36519,36528) = 3

We will now calculate the prime factors of 36519 and 36528, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36519 and 36528.

How to find the GCF of 36519 and 36528?

We will first find the prime factorization of 36519 and 36528. After we will calculate the factors of 36519 and 36528 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 36528

Prime factors of 36528 are 2, 3, 761. Prime factorization of 36528 in exponential form is:

36528 = 2⁴ × 3¹ × 761¹

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 36528

List of positive integer factors of 36528 that divides 36519 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 761, 1522, 2283, 3044, 4566, 6088, 9132, 12176, 18264

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36519 and 36528. The biggest common factor number is the GCF number.
So the greatest common factor 36519 and 36528 is 3.

Also check out the Least Common Multiple of 36519 and 36528