What is the Greatest Common Factor of 58669 and 58682?

Greatest common factor (GCF) of 58669 and 58682 is 13.

GCF(58669,58682) = 13

We will now calculate the prime factors of 58669 and 58682, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58669 and 58682.

How to find the GCF of 58669 and 58682?

We will first find the prime factorization of 58669 and 58682. After we will calculate the factors of 58669 and 58682 and find the biggest common factor number .

Step-1: Prime Factorization of 58669

Prime factors of 58669 are 13, 4513. Prime factorization of 58669 in exponential form is:

58669 = 13¹ × 4513¹

Step-2: Prime Factorization of 58682

Prime factors of 58682 are 2, 13, 37, 61. Prime factorization of 58682 in exponential form is:

58682 = 2¹ × 13¹ × 37¹ × 61¹

Step-3: Factors of 58669

List of positive integer factors of 58669 that divides 58669 without a remainder.

1, 13, 4513

Step-4: Factors of 58682

List of positive integer factors of 58682 that divides 58669 without a remainder.

1, 2, 13, 26, 37, 61, 74, 122, 481, 793, 962, 1586, 2257, 4514, 29341

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58669 and 58682. The biggest common factor number is the GCF number.
So the greatest common factor 58669 and 58682 is 13.

Also check out the Least Common Multiple of 58669 and 58682