What is the Greatest Common Factor of 36507 and 36516?

Greatest common factor (GCF) of 36507 and 36516 is 3.

GCF(36507,36516) = 3

We will now calculate the prime factors of 36507 and 36516, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36507 and 36516.

How to find the GCF of 36507 and 36516?

We will first find the prime factorization of 36507 and 36516. After we will calculate the factors of 36507 and 36516 and find the biggest common factor number .

Step-1: Prime Factorization of 36507

Prime factors of 36507 are 3, 43, 283. Prime factorization of 36507 in exponential form is:

36507 = 3¹ × 43¹ × 283¹

Step-2: Prime Factorization of 36516

Prime factors of 36516 are 2, 3, 17, 179. Prime factorization of 36516 in exponential form is:

36516 = 2² × 3¹ × 17¹ × 179¹

Step-3: Factors of 36507

List of positive integer factors of 36507 that divides 36507 without a remainder.

1, 3, 43, 129, 283, 849, 12169

Step-4: Factors of 36516

List of positive integer factors of 36516 that divides 36507 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 179, 204, 358, 537, 716, 1074, 2148, 3043, 6086, 9129, 12172, 18258

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36507 and 36516. The biggest common factor number is the GCF number.
So the greatest common factor 36507 and 36516 is 3.

Also check out the Least Common Multiple of 36507 and 36516