What is the Greatest Common Factor of 72254 and 72266?

Greatest common factor (GCF) of 72254 and 72266 is 2.

GCF(72254,72266) = 2

We will now calculate the prime factors of 72254 and 72266, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72254 and 72266.

How to find the GCF of 72254 and 72266?

We will first find the prime factorization of 72254 and 72266. After we will calculate the factors of 72254 and 72266 and find the biggest common factor number .

Step-1: Prime Factorization of 72254

Prime factors of 72254 are 2, 7, 13, 397. Prime factorization of 72254 in exponential form is:

72254 = 2¹ × 7¹ × 13¹ × 397¹

Step-2: Prime Factorization of 72266

Prime factors of 72266 are 2, 23, 1571. Prime factorization of 72266 in exponential form is:

72266 = 2¹ × 23¹ × 1571¹

Step-3: Factors of 72254

List of positive integer factors of 72254 that divides 72254 without a remainder.

1, 2, 7, 13, 14, 26, 91, 182, 397, 794, 2779, 5161, 5558, 10322, 36127

Step-4: Factors of 72266

List of positive integer factors of 72266 that divides 72254 without a remainder.

1, 2, 23, 46, 1571, 3142, 36133

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72254 and 72266. The biggest common factor number is the GCF number.
So the greatest common factor 72254 and 72266 is 2.

Also check out the Least Common Multiple of 72254 and 72266