What is the Greatest Common Factor of 72358 and 72368?

Greatest common factor (GCF) of 72358 and 72368 is 2.

GCF(72358,72368) = 2

We will now calculate the prime factors of 72358 and 72368, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72358 and 72368.

How to find the GCF of 72358 and 72368?

We will first find the prime factorization of 72358 and 72368. After we will calculate the factors of 72358 and 72368 and find the biggest common factor number .

Step-1: Prime Factorization of 72358

Prime factors of 72358 are 2, 11, 13, 23. Prime factorization of 72358 in exponential form is:

72358 = 2¹ × 11² × 13¹ × 23¹

Step-2: Prime Factorization of 72368

Prime factors of 72368 are 2, 4523. Prime factorization of 72368 in exponential form is:

72368 = 2⁴ × 4523¹

Step-3: Factors of 72358

List of positive integer factors of 72358 that divides 72358 without a remainder.

1, 2, 11, 13, 22, 23, 26, 46, 121, 143, 242, 253, 286, 299, 506, 598, 1573, 2783, 3146, 3289, 5566, 6578, 36179

Step-4: Factors of 72368

List of positive integer factors of 72368 that divides 72358 without a remainder.

1, 2, 4, 8, 16, 4523, 9046, 18092, 36184

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72358 and 72368. The biggest common factor number is the GCF number.
So the greatest common factor 72358 and 72368 is 2.

Also check out the Least Common Multiple of 72358 and 72368