What is the Greatest Common Factor of 20346 and 20358?

Greatest common factor (GCF) of 20346 and 20358 is 6.

GCF(20346,20358) = 6

We will now calculate the prime factors of 20346 and 20358, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20346 and 20358.

How to find the GCF of 20346 and 20358?

We will first find the prime factorization of 20346 and 20358. After we will calculate the factors of 20346 and 20358 and find the biggest common factor number .

Step-1: Prime Factorization of 20346

Prime factors of 20346 are 2, 3, 3391. Prime factorization of 20346 in exponential form is:

20346 = 2¹ × 3¹ × 3391¹

Step-2: 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-3: Factors of 20346

List of positive integer factors of 20346 that divides 20346 without a remainder.

1, 2, 3, 6, 3391, 6782, 10173

Step-4: Factors of 20358

List of positive integer factors of 20358 that divides 20346 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20346 and 20358. The biggest common factor number is the GCF number.
So the greatest common factor 20346 and 20358 is 6.

Also check out the Least Common Multiple of 20346 and 20358