What is the Greatest Common Factor of 20340 and 20358?

Greatest common factor (GCF) of 20340 and 20358 is 18.

GCF(20340,20358) = 18

We will now calculate the prime factors of 20340 and 20358, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20340 and 20358.

How to find the GCF of 20340 and 20358?

We will first find the prime factorization of 20340 and 20358. After we will calculate the factors of 20340 and 20358 and find the biggest common factor number .

Step-1: Prime Factorization of 20340

Prime factors of 20340 are 2, 3, 5, 113. Prime factorization of 20340 in exponential form is:

20340 = 2² × 3² × 5¹ × 113¹

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 20340

List of positive integer factors of 20340 that divides 20340 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 113, 180, 226, 339, 452, 565, 678, 1017, 1130, 1356, 1695, 2034, 2260, 3390, 4068, 5085, 6780, 10170

Step-4: Factors of 20358

List of positive integer factors of 20358 that divides 20340 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 20340 and 20358. The biggest common factor number is the GCF number.
So the greatest common factor 20340 and 20358 is 18.

Also check out the Least Common Multiple of 20340 and 20358