What is the Greatest Common Factor of 58729 and 58748?

Greatest common factor (GCF) of 58729 and 58748 is 19.

GCF(58729,58748) = 19

We will now calculate the prime factors of 58729 and 58748, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58729 and 58748.

How to find the GCF of 58729 and 58748?

We will first find the prime factorization of 58729 and 58748. After we will calculate the factors of 58729 and 58748 and find the biggest common factor number .

Step-1: Prime Factorization of 58729

Prime factors of 58729 are 11, 19, 281. Prime factorization of 58729 in exponential form is:

58729 = 11¹ × 19¹ × 281¹

Step-2: Prime Factorization of 58748

Prime factors of 58748 are 2, 19, 773. Prime factorization of 58748 in exponential form is:

58748 = 2² × 19¹ × 773¹

Step-3: Factors of 58729

List of positive integer factors of 58729 that divides 58729 without a remainder.

1, 11, 19, 209, 281, 3091, 5339

Step-4: Factors of 58748

List of positive integer factors of 58748 that divides 58729 without a remainder.

1, 2, 4, 19, 38, 76, 773, 1546, 3092, 14687, 29374

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58729 and 58748. The biggest common factor number is the GCF number.
So the greatest common factor 58729 and 58748 is 19.

Also check out the Least Common Multiple of 58729 and 58748