What is the Greatest Common Factor of 20358 and 20371?

Greatest common factor (GCF) of 20358 and 20371 is 13.

GCF(20358,20371) = 13

We will now calculate the prime factors of 20358 and 20371, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20358 and 20371.

How to find the GCF of 20358 and 20371?

We will first find the prime factorization of 20358 and 20371. After we will calculate the factors of 20358 and 20371 and find the biggest common factor number .

Step-1: Prime Factorization of 20358

Prime factors of 20358 are 2, 3, 13, 29. Prime factorization of 20358 in exponential form is:

20358 = 2¹ × 3³ × 13¹ × 29¹

Step-2: Prime Factorization of 20371

Prime factors of 20371 are 13, 1567. Prime factorization of 20371 in exponential form is:

20371 = 13¹ × 1567¹

Step-3: Factors of 20358

List of positive integer factors of 20358 that divides 20358 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 27, 29, 39, 54, 58, 78, 87, 117, 174, 234, 261, 351, 377, 522, 702, 754, 783, 1131, 1566, 2262, 3393, 6786, 10179

Step-4: Factors of 20371

List of positive integer factors of 20371 that divides 20358 without a remainder.

1, 13, 1567

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20358 and 20371. The biggest common factor number is the GCF number.
So the greatest common factor 20358 and 20371 is 13.

Also check out the Least Common Multiple of 20358 and 20371