What is the Greatest Common Factor of 72358 and 72376?

Greatest common factor (GCF) of 72358 and 72376 is 2.

GCF(72358,72376) = 2

We will now calculate the prime factors of 72358 and 72376, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72358 and 72376.

How to find the GCF of 72358 and 72376?

We will first find the prime factorization of 72358 and 72376. After we will calculate the factors of 72358 and 72376 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 72376

Prime factors of 72376 are 2, 83, 109. Prime factorization of 72376 in exponential form is:

72376 = 2³ × 83¹ × 109¹

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 72376

List of positive integer factors of 72376 that divides 72358 without a remainder.

1, 2, 4, 8, 83, 109, 166, 218, 332, 436, 664, 872, 9047, 18094, 36188

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72358 and 72376. The biggest common factor number is the GCF number.
So the greatest common factor 72358 and 72376 is 2.

Also check out the Least Common Multiple of 72358 and 72376