What is the Greatest Common Factor of 72261 and 72270?

Greatest common factor (GCF) of 72261 and 72270 is 9.

GCF(72261,72270) = 9

We will now calculate the prime factors of 72261 and 72270, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72261 and 72270.

How to find the GCF of 72261 and 72270?

We will first find the prime factorization of 72261 and 72270. After we will calculate the factors of 72261 and 72270 and find the biggest common factor number .

Step-1: Prime Factorization of 72261

Prime factors of 72261 are 3, 7, 31, 37. Prime factorization of 72261 in exponential form is:

72261 = 3² × 7¹ × 31¹ × 37¹

Step-2: Prime Factorization of 72270

Prime factors of 72270 are 2, 3, 5, 11, 73. Prime factorization of 72270 in exponential form is:

72270 = 2¹ × 3² × 5¹ × 11¹ × 73¹

Step-3: Factors of 72261

List of positive integer factors of 72261 that divides 72261 without a remainder.

1, 3, 7, 9, 21, 31, 37, 63, 93, 111, 217, 259, 279, 333, 651, 777, 1147, 1953, 2331, 3441, 8029, 10323, 24087

Step-4: Factors of 72270

List of positive integer factors of 72270 that divides 72261 without a remainder.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 73, 90, 99, 110, 146, 165, 198, 219, 330, 365, 438, 495, 657, 730, 803, 990, 1095, 1314, 1606, 2190, 2409, 3285, 4015, 4818, 6570, 7227, 8030, 12045, 14454, 24090, 36135

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72261 and 72270. The biggest common factor number is the GCF number.
So the greatest common factor 72261 and 72270 is 9.

Also check out the Least Common Multiple of 72261 and 72270