What is the Greatest Common Factor of 40548 and 40557?

Greatest common factor (GCF) of 40548 and 40557 is 3.

GCF(40548,40557) = 3

We will now calculate the prime factors of 40548 and 40557, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40548 and 40557.

How to find the GCF of 40548 and 40557?

We will first find the prime factorization of 40548 and 40557. After we will calculate the factors of 40548 and 40557 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 40557

Prime factors of 40557 are 3, 11, 1229. Prime factorization of 40557 in exponential form is:

40557 = 3¹ × 11¹ × 1229¹

Step-3: Factors of 40548

List of positive integer factors of 40548 that divides 40548 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

Step-4: Factors of 40557

List of positive integer factors of 40557 that divides 40548 without a remainder.

1, 3, 11, 33, 1229, 3687, 13519

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40548 and 40557. The biggest common factor number is the GCF number.
So the greatest common factor 40548 and 40557 is 3.

Also check out the Least Common Multiple of 40548 and 40557