What is the Greatest Common Factor of 36512 and 36519?

Greatest common factor (GCF) of 36512 and 36519 is 7.

GCF(36512,36519) = 7

We will now calculate the prime factors of 36512 and 36519, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36512 and 36519.

How to find the GCF of 36512 and 36519?

We will first find the prime factorization of 36512 and 36519. After we will calculate the factors of 36512 and 36519 and find the biggest common factor number .

Step-1: Prime Factorization of 36512

Prime factors of 36512 are 2, 7, 163. Prime factorization of 36512 in exponential form is:

36512 = 2⁵ × 7¹ × 163¹

Step-2: 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-3: Factors of 36512

List of positive integer factors of 36512 that divides 36512 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 163, 224, 326, 652, 1141, 1304, 2282, 2608, 4564, 5216, 9128, 18256

Step-4: Factors of 36519

List of positive integer factors of 36519 that divides 36512 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36512 and 36519. The biggest common factor number is the GCF number.
So the greatest common factor 36512 and 36519 is 7.

Also check out the Least Common Multiple of 36512 and 36519