What is the Greatest Common Factor of 20358 and 20376?

Greatest common factor (GCF) of 20358 and 20376 is 18.

GCF(20358,20376) = 18

We will now calculate the prime factors of 20358 and 20376, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20358 and 20376.

How to find the GCF of 20358 and 20376?

We will first find the prime factorization of 20358 and 20376. After we will calculate the factors of 20358 and 20376 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 20376

Prime factors of 20376 are 2, 3, 283. Prime factorization of 20376 in exponential form is:

20376 = 2³ × 3² × 283¹

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 20376

List of positive integer factors of 20376 that divides 20358 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 283, 566, 849, 1132, 1698, 2264, 2547, 3396, 5094, 6792, 10188

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20358 and 20376. The biggest common factor number is the GCF number.
So the greatest common factor 20358 and 20376 is 18.

Also check out the Least Common Multiple of 20358 and 20376