What is the Greatest Common Factor of 72290 and 72306?

Greatest common factor (GCF) of 72290 and 72306 is 2.

GCF(72290,72306) = 2

We will now calculate the prime factors of 72290 and 72306, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72290 and 72306.

How to find the GCF of 72290 and 72306?

We will first find the prime factorization of 72290 and 72306. After we will calculate the factors of 72290 and 72306 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 72306

Prime factors of 72306 are 2, 3, 13, 103. Prime factorization of 72306 in exponential form is:

72306 = 2¹ × 3³ × 13¹ × 103¹

Step-3: Factors of 72290

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

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

Step-4: Factors of 72306

List of positive integer factors of 72306 that divides 72290 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 103, 117, 206, 234, 309, 351, 618, 702, 927, 1339, 1854, 2678, 2781, 4017, 5562, 8034, 12051, 24102, 36153

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72290 and 72306. The biggest common factor number is the GCF number.
So the greatest common factor 72290 and 72306 is 2.

Also check out the Least Common Multiple of 72290 and 72306