What is the Greatest Common Factor of 72259 and 72270?

Greatest common factor (GCF) of 72259 and 72270 is 11.

GCF(72259,72270) = 11

We will now calculate the prime factors of 72259 and 72270, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72259 and 72270.

How to find the GCF of 72259 and 72270?

We will first find the prime factorization of 72259 and 72270. After we will calculate the factors of 72259 and 72270 and find the biggest common factor number .

Step-1: Prime Factorization of 72259

Prime factors of 72259 are 11, 6569. Prime factorization of 72259 in exponential form is:

72259 = 11¹ × 6569¹

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 72259

List of positive integer factors of 72259 that divides 72259 without a remainder.

1, 11, 6569

Step-4: Factors of 72270

List of positive integer factors of 72270 that divides 72259 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 72259 and 72270. The biggest common factor number is the GCF number.
So the greatest common factor 72259 and 72270 is 11.

Also check out the Least Common Multiple of 72259 and 72270