What is the Greatest Common Factor of 72555 and 72570?

Greatest common factor (GCF) of 72555 and 72570 is 15.

GCF(72555,72570) = 15

We will now calculate the prime factors of 72555 and 72570, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72555 and 72570.

How to find the GCF of 72555 and 72570?

We will first find the prime factorization of 72555 and 72570. After we will calculate the factors of 72555 and 72570 and find the biggest common factor number .

Step-1: Prime Factorization of 72555

Prime factors of 72555 are 3, 5, 7, 691. Prime factorization of 72555 in exponential form is:

72555 = 3¹ × 5¹ × 7¹ × 691¹

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 72555

List of positive integer factors of 72555 that divides 72555 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105, 691, 2073, 3455, 4837, 10365, 14511, 24185

Step-4: Factors of 72570

List of positive integer factors of 72570 that divides 72555 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 72555 and 72570. The biggest common factor number is the GCF number.
So the greatest common factor 72555 and 72570 is 15.

Also check out the Least Common Multiple of 72555 and 72570