What is the Greatest Common Factor of 58432 and 58444?

Greatest common factor (GCF) of 58432 and 58444 is 4.

GCF(58432,58444) = 4

We will now calculate the prime factors of 58432 and 58444, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58432 and 58444.

How to find the GCF of 58432 and 58444?

We will first find the prime factorization of 58432 and 58444. After we will calculate the factors of 58432 and 58444 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 58444

Prime factors of 58444 are 2, 19, 769. Prime factorization of 58444 in exponential form is:

58444 = 2² × 19¹ × 769¹

Step-3: Factors of 58432

List of positive integer factors of 58432 that divides 58432 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

Step-4: Factors of 58444

List of positive integer factors of 58444 that divides 58432 without a remainder.

1, 2, 4, 19, 38, 76, 769, 1538, 3076, 14611, 29222

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58432 and 58444. The biggest common factor number is the GCF number.
So the greatest common factor 58432 and 58444 is 4.

Also check out the Least Common Multiple of 58432 and 58444