What is the Greatest Common Factor of 40572 and 40580?

Greatest common factor (GCF) of 40572 and 40580 is 4.

GCF(40572,40580) = 4

We will now calculate the prime factors of 40572 and 40580, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40572 and 40580.

How to find the GCF of 40572 and 40580?

We will first find the prime factorization of 40572 and 40580. After we will calculate the factors of 40572 and 40580 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 40580

Prime factors of 40580 are 2, 5, 2029. Prime factorization of 40580 in exponential form is:

40580 = 2² × 5¹ × 2029¹

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 40580

List of positive integer factors of 40580 that divides 40572 without a remainder.

1, 2, 4, 5, 10, 20, 2029, 4058, 8116, 10145, 20290

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40572 and 40580. The biggest common factor number is the GCF number.
So the greatest common factor 40572 and 40580 is 4.

Also check out the Least Common Multiple of 40572 and 40580