What is the Greatest Common Factor of 40563 and 40572?

Greatest common factor (GCF) of 40563 and 40572 is 9.

GCF(40563,40572) = 9

We will now calculate the prime factors of 40563 and 40572, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40563 and 40572.

How to find the GCF of 40563 and 40572?

We will first find the prime factorization of 40563 and 40572. After we will calculate the factors of 40563 and 40572 and find the biggest common factor number .

Step-1: Prime Factorization of 40563

Prime factors of 40563 are 3, 4507. Prime factorization of 40563 in exponential form is:

40563 = 3² × 4507¹

Step-2: 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-3: Factors of 40563

List of positive integer factors of 40563 that divides 40563 without a remainder.

1, 3, 9, 4507, 13521

Step-4: Factors of 40572

List of positive integer factors of 40572 that divides 40563 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40563 and 40572. The biggest common factor number is the GCF number.
So the greatest common factor 40563 and 40572 is 9.

Also check out the Least Common Multiple of 40563 and 40572