What is the Greatest Common Factor of 40572 and 40581?

Greatest common factor (GCF) of 40572 and 40581 is 9.

GCF(40572,40581) = 9

We will now calculate the prime factors of 40572 and 40581, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40572 and 40581.

How to find the GCF of 40572 and 40581?

We will first find the prime factorization of 40572 and 40581. After we will calculate the factors of 40572 and 40581 and find the biggest common factor number .

Step-1: Prime Factorization of 40572

Prime factors of 40572 are 2, 3, 7, 23. Prime factorization of 40572 in exponential form is:

40572 = 2² × 3² × 7² × 23¹

Step-2: Prime Factorization of 40581

Prime factors of 40581 are 3, 167. Prime factorization of 40581 in exponential form is:

40581 = 3⁵ × 167¹

Step-3: Factors of 40572

List of positive integer factors of 40572 that divides 40572 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 23, 28, 36, 42, 46, 49, 63, 69, 84, 92, 98, 126, 138, 147, 161, 196, 207, 252, 276, 294, 322, 414, 441, 483, 588, 644, 828, 882, 966, 1127, 1449, 1764, 1932, 2254, 2898, 3381, 4508, 5796, 6762, 10143, 13524, 20286

Step-4: Factors of 40581

List of positive integer factors of 40581 that divides 40572 without a remainder.

1, 3, 9, 27, 81, 167, 243, 501, 1503, 4509, 13527

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40572 and 40581. The biggest common factor number is the GCF number.
So the greatest common factor 40572 and 40581 is 9.

Also check out the Least Common Multiple of 40572 and 40581