What is the Greatest Common Factor of 20358 and 20373?

Greatest common factor (GCF) of 20358 and 20373 is 3.

GCF(20358,20373) = 3

We will now calculate the prime factors of 20358 and 20373, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20358 and 20373.

How to find the GCF of 20358 and 20373?

We will first find the prime factorization of 20358 and 20373. After we will calculate the factors of 20358 and 20373 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 20373

Prime factors of 20373 are 3, 6791. Prime factorization of 20373 in exponential form is:

20373 = 3¹ × 6791¹

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 20373

List of positive integer factors of 20373 that divides 20358 without a remainder.

1, 3, 6791

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20358 and 20373. The biggest common factor number is the GCF number.
So the greatest common factor 20358 and 20373 is 3.

Also check out the Least Common Multiple of 20358 and 20373