What is the Greatest Common Factor of 72552 and 72570?

Greatest common factor (GCF) of 72552 and 72570 is 6.

GCF(72552,72570) = 6

We will now calculate the prime factors of 72552 and 72570, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72552 and 72570.

How to find the GCF of 72552 and 72570?

We will first find the prime factorization of 72552 and 72570. After we will calculate the factors of 72552 and 72570 and find the biggest common factor number .

Step-1: Prime Factorization of 72552

Prime factors of 72552 are 2, 3, 3023. Prime factorization of 72552 in exponential form is:

72552 = 2³ × 3¹ × 3023¹

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 72552

List of positive integer factors of 72552 that divides 72552 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 3023, 6046, 9069, 12092, 18138, 24184, 36276

Step-4: Factors of 72570

List of positive integer factors of 72570 that divides 72552 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 72552 and 72570. The biggest common factor number is the GCF number.
So the greatest common factor 72552 and 72570 is 6.

Also check out the Least Common Multiple of 72552 and 72570