What is the Greatest Common Factor of 58412 and 58432?

Greatest common factor (GCF) of 58412 and 58432 is 4.

GCF(58412,58432) = 4

We will now calculate the prime factors of 58412 and 58432, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58412 and 58432.

How to find the GCF of 58412 and 58432?

We will first find the prime factorization of 58412 and 58432. After we will calculate the factors of 58412 and 58432 and find the biggest common factor number .

Step-1: Prime Factorization of 58412

Prime factors of 58412 are 2, 17, 859. Prime factorization of 58412 in exponential form is:

58412 = 2² × 17¹ × 859¹

Step-2: Prime Factorization of 58432

Prime factors of 58432 are 2, 11, 83. Prime factorization of 58432 in exponential form is:

58432 = 2⁶ × 11¹ × 83¹

Step-3: Factors of 58412

List of positive integer factors of 58412 that divides 58412 without a remainder.

1, 2, 4, 17, 34, 68, 859, 1718, 3436, 14603, 29206

Step-4: Factors of 58432

List of positive integer factors of 58432 that divides 58412 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 83, 88, 166, 176, 332, 352, 664, 704, 913, 1328, 1826, 2656, 3652, 5312, 7304, 14608, 29216

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58412 and 58432. The biggest common factor number is the GCF number.
So the greatest common factor 58412 and 58432 is 4.

Also check out the Least Common Multiple of 58412 and 58432