What is the Greatest Common Factor of 58429 and 58436?

Greatest common factor (GCF) of 58429 and 58436 is 7.

GCF(58429,58436) = 7

We will now calculate the prime factors of 58429 and 58436, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58429 and 58436.

How to find the GCF of 58429 and 58436?

We will first find the prime factorization of 58429 and 58436. After we will calculate the factors of 58429 and 58436 and find the biggest common factor number .

Step-1: Prime Factorization of 58429

Prime factors of 58429 are 7, 17, 491. Prime factorization of 58429 in exponential form is:

58429 = 7¹ × 17¹ × 491¹

Step-2: Prime Factorization of 58436

Prime factors of 58436 are 2, 7, 2087. Prime factorization of 58436 in exponential form is:

58436 = 2² × 7¹ × 2087¹

Step-3: Factors of 58429

List of positive integer factors of 58429 that divides 58429 without a remainder.

1, 7, 17, 119, 491, 3437, 8347

Step-4: Factors of 58436

List of positive integer factors of 58436 that divides 58429 without a remainder.

1, 2, 4, 7, 14, 28, 2087, 4174, 8348, 14609, 29218

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58429 and 58436. The biggest common factor number is the GCF number.
So the greatest common factor 58429 and 58436 is 7.

Also check out the Least Common Multiple of 58429 and 58436