What is the Greatest Common Factor of 72558 and 72570?

Greatest common factor (GCF) of 72558 and 72570 is 6.

GCF(72558,72570) = 6

We will now calculate the prime factors of 72558 and 72570, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72558 and 72570.

How to find the GCF of 72558 and 72570?

We will first find the prime factorization of 72558 and 72570. After we will calculate the factors of 72558 and 72570 and find the biggest common factor number .

Step-1: Prime Factorization of 72558

Prime factors of 72558 are 2, 3, 29, 139. Prime factorization of 72558 in exponential form is:

72558 = 2¹ × 3² × 29¹ × 139¹

Step-2: Prime Factorization of 72570

Prime factors of 72570 are 2, 3, 5, 41, 59. Prime factorization of 72570 in exponential form is:

72570 = 2¹ × 3¹ × 5¹ × 41¹ × 59¹

Step-3: Factors of 72558

List of positive integer factors of 72558 that divides 72558 without a remainder.

1, 2, 3, 6, 9, 18, 29, 58, 87, 139, 174, 261, 278, 417, 522, 834, 1251, 2502, 4031, 8062, 12093, 24186, 36279

Step-4: Factors of 72570

List of positive integer factors of 72570 that divides 72558 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 41, 59, 82, 118, 123, 177, 205, 246, 295, 354, 410, 590, 615, 885, 1230, 1770, 2419, 4838, 7257, 12095, 14514, 24190, 36285

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72558 and 72570. The biggest common factor number is the GCF number.
So the greatest common factor 72558 and 72570 is 6.

Also check out the Least Common Multiple of 72558 and 72570