What is the Greatest Common Factor of 40524 and 40533?

Greatest common factor (GCF) of 40524 and 40533 is 3.

GCF(40524,40533) = 3

We will now calculate the prime factors of 40524 and 40533, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40524 and 40533.

How to find the GCF of 40524 and 40533?

We will first find the prime factorization of 40524 and 40533. After we will calculate the factors of 40524 and 40533 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 40533

Prime factors of 40533 are 3, 59, 229. Prime factorization of 40533 in exponential form is:

40533 = 3¹ × 59¹ × 229¹

Step-3: Factors of 40524

List of positive integer factors of 40524 that divides 40524 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

Step-4: Factors of 40533

List of positive integer factors of 40533 that divides 40524 without a remainder.

1, 3, 59, 177, 229, 687, 13511

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40524 and 40533. The biggest common factor number is the GCF number.
So the greatest common factor 40524 and 40533 is 3.

Also check out the Least Common Multiple of 40524 and 40533