What is the Greatest Common Factor of 72270 and 72290?

Greatest common factor (GCF) of 72270 and 72290 is 10.

GCF(72270,72290) = 10

We will now calculate the prime factors of 72270 and 72290, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72270 and 72290.

How to find the GCF of 72270 and 72290?

We will first find the prime factorization of 72270 and 72290. After we will calculate the factors of 72270 and 72290 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 72290

Prime factors of 72290 are 2, 5, 7229. Prime factorization of 72290 in exponential form is:

72290 = 2¹ × 5¹ × 7229¹

Step-3: Factors of 72270

List of positive integer factors of 72270 that divides 72270 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

Step-4: Factors of 72290

List of positive integer factors of 72290 that divides 72270 without a remainder.

1, 2, 5, 10, 7229, 14458, 36145

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72270 and 72290. The biggest common factor number is the GCF number.
So the greatest common factor 72270 and 72290 is 10.

Also check out the Least Common Multiple of 72270 and 72290