What is the Greatest Common Factor of 72210 and 72225?

Greatest common factor (GCF) of 72210 and 72225 is 15.

GCF(72210,72225) = 15

We will now calculate the prime factors of 72210 and 72225, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72210 and 72225.

How to find the GCF of 72210 and 72225?

We will first find the prime factorization of 72210 and 72225. After we will calculate the factors of 72210 and 72225 and find the biggest common factor number .

Step-1: Prime Factorization of 72210

Prime factors of 72210 are 2, 3, 5, 29, 83. Prime factorization of 72210 in exponential form is:

72210 = 2¹ × 3¹ × 5¹ × 29¹ × 83¹

Step-2: Prime Factorization of 72225

Prime factors of 72225 are 3, 5, 107. Prime factorization of 72225 in exponential form is:

72225 = 3³ × 5² × 107¹

Step-3: Factors of 72210

List of positive integer factors of 72210 that divides 72210 without a remainder.

1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 83, 87, 145, 166, 174, 249, 290, 415, 435, 498, 830, 870, 1245, 2407, 2490, 4814, 7221, 12035, 14442, 24070, 36105

Step-4: Factors of 72225

List of positive integer factors of 72225 that divides 72210 without a remainder.

1, 3, 5, 9, 15, 25, 27, 45, 75, 107, 135, 225, 321, 535, 675, 963, 1605, 2675, 2889, 4815, 8025, 14445, 24075

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72210 and 72225. The biggest common factor number is the GCF number.
So the greatest common factor 72210 and 72225 is 15.

Also check out the Least Common Multiple of 72210 and 72225