What is the Greatest Common Factor of 58428 and 58432?

Greatest common factor (GCF) of 58428 and 58432 is 4.

GCF(58428,58432) = 4

We will now calculate the prime factors of 58428 and 58432, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58428 and 58432.

How to find the GCF of 58428 and 58432?

We will first find the prime factorization of 58428 and 58432. After we will calculate the factors of 58428 and 58432 and find the biggest common factor number .

Step-1: Prime Factorization of 58428

Prime factors of 58428 are 2, 3, 541. Prime factorization of 58428 in exponential form is:

58428 = 2² × 3³ × 541¹

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 58428

List of positive integer factors of 58428 that divides 58428 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 541, 1082, 1623, 2164, 3246, 4869, 6492, 9738, 14607, 19476, 29214

Step-4: Factors of 58432

List of positive integer factors of 58432 that divides 58428 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 58428 and 58432. The biggest common factor number is the GCF number.
So the greatest common factor 58428 and 58432 is 4.

Also check out the Least Common Multiple of 58428 and 58432