What is the Greatest Common Factor of 72250 and 72270?

Greatest common factor (GCF) of 72250 and 72270 is 10.

GCF(72250,72270) = 10

We will now calculate the prime factors of 72250 and 72270, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72250 and 72270.

How to find the GCF of 72250 and 72270?

We will first find the prime factorization of 72250 and 72270. After we will calculate the factors of 72250 and 72270 and find the biggest common factor number .

Step-1: Prime Factorization of 72250

Prime factors of 72250 are 2, 5, 17. Prime factorization of 72250 in exponential form is:

72250 = 2¹ × 5³ × 17²

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 72250

List of positive integer factors of 72250 that divides 72250 without a remainder.

1, 2, 5, 10, 17, 25, 34, 50, 85, 125, 170, 250, 289, 425, 578, 850, 1445, 2125, 2890, 4250, 7225, 14450, 36125

Step-4: Factors of 72270

List of positive integer factors of 72270 that divides 72250 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 72250 and 72270. The biggest common factor number is the GCF number.
So the greatest common factor 72250 and 72270 is 10.

Also check out the Least Common Multiple of 72250 and 72270