What is the Greatest Common Factor of 72386 and 72398?

Greatest common factor (GCF) of 72386 and 72398 is 2.

GCF(72386,72398) = 2

We will now calculate the prime factors of 72386 and 72398, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72386 and 72398.

How to find the GCF of 72386 and 72398?

We will first find the prime factorization of 72386 and 72398. After we will calculate the factors of 72386 and 72398 and find the biggest common factor number .

Step-1: Prime Factorization of 72386

Prime factors of 72386 are 2, 17, 2129. Prime factorization of 72386 in exponential form is:

72386 = 2¹ × 17¹ × 2129¹

Step-2: Prime Factorization of 72398

Prime factors of 72398 are 2, 53, 683. Prime factorization of 72398 in exponential form is:

72398 = 2¹ × 53¹ × 683¹

Step-3: Factors of 72386

List of positive integer factors of 72386 that divides 72386 without a remainder.

1, 2, 17, 34, 2129, 4258, 36193

Step-4: Factors of 72398

List of positive integer factors of 72398 that divides 72386 without a remainder.

1, 2, 53, 106, 683, 1366, 36199

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72386 and 72398. The biggest common factor number is the GCF number.
So the greatest common factor 72386 and 72398 is 2.

Also check out the Least Common Multiple of 72386 and 72398