What is the Greatest Common Factor of 40515 and 40524?

Greatest common factor (GCF) of 40515 and 40524 is 3.

GCF(40515,40524) = 3

We will now calculate the prime factors of 40515 and 40524, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40515 and 40524.

How to find the GCF of 40515 and 40524?

We will first find the prime factorization of 40515 and 40524. After we will calculate the factors of 40515 and 40524 and find the biggest common factor number .

Step-1: Prime Factorization of 40515

Prime factors of 40515 are 3, 5, 37, 73. Prime factorization of 40515 in exponential form is:

40515 = 3¹ × 5¹ × 37¹ × 73¹

Step-2: Prime Factorization of 40524

Prime factors of 40524 are 2, 3, 11, 307. Prime factorization of 40524 in exponential form is:

40524 = 2² × 3¹ × 11¹ × 307¹

Step-3: Factors of 40515

List of positive integer factors of 40515 that divides 40515 without a remainder.

1, 3, 5, 15, 37, 73, 111, 185, 219, 365, 555, 1095, 2701, 8103, 13505

Step-4: Factors of 40524

List of positive integer factors of 40524 that divides 40515 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132, 307, 614, 921, 1228, 1842, 3377, 3684, 6754, 10131, 13508, 20262

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40515 and 40524. The biggest common factor number is the GCF number.
So the greatest common factor 40515 and 40524 is 3.

Also check out the Least Common Multiple of 40515 and 40524