What is the Greatest Common Factor of 72358 and 72377?

Greatest common factor (GCF) of 72358 and 72377 is 1.

GCF(72358,72377) = 1

We will now calculate the prime factors of 72358 and 72377, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72358 and 72377.

How to find the GCF of 72358 and 72377?

We will first find the prime factorization of 72358 and 72377. After we will calculate the factors of 72358 and 72377 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 72377

Prime factors of 72377 are 157, 461. Prime factorization of 72377 in exponential form is:

72377 = 157¹ × 461¹

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 72377

List of positive integer factors of 72377 that divides 72358 without a remainder.

1, 157, 461

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72358 and 72377. The biggest common factor number is the GCF number.
So the greatest common factor 72358 and 72377 is 1.

Also check out the Least Common Multiple of 72358 and 72377