What is the Greatest Common Factor of 40533 and 40548?

Greatest common factor (GCF) of 40533 and 40548 is 3.

GCF(40533,40548) = 3

We will now calculate the prime factors of 40533 and 40548, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40533 and 40548.

How to find the GCF of 40533 and 40548?

We will first find the prime factorization of 40533 and 40548. After we will calculate the factors of 40533 and 40548 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 40548

Prime factors of 40548 are 2, 3, 31, 109. Prime factorization of 40548 in exponential form is:

40548 = 2² × 3¹ × 31¹ × 109¹

Step-3: Factors of 40533

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

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

Step-4: Factors of 40548

List of positive integer factors of 40548 that divides 40533 without a remainder.

1, 2, 3, 4, 6, 12, 31, 62, 93, 109, 124, 186, 218, 327, 372, 436, 654, 1308, 3379, 6758, 10137, 13516, 20274

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40533 and 40548. The biggest common factor number is the GCF number.
So the greatest common factor 40533 and 40548 is 3.

Also check out the Least Common Multiple of 40533 and 40548