What is the Greatest Common Factor of 20046 and 20058?

Greatest common factor (GCF) of 20046 and 20058 is 6.

GCF(20046,20058) = 6

We will now calculate the prime factors of 20046 and 20058, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20046 and 20058.

How to find the GCF of 20046 and 20058?

We will first find the prime factorization of 20046 and 20058. After we will calculate the factors of 20046 and 20058 and find the biggest common factor number .

Step-1: Prime Factorization of 20046

Prime factors of 20046 are 2, 3, 13, 257. Prime factorization of 20046 in exponential form is:

20046 = 2¹ × 3¹ × 13¹ × 257¹

Step-2: Prime Factorization of 20058

Prime factors of 20058 are 2, 3, 3343. Prime factorization of 20058 in exponential form is:

20058 = 2¹ × 3¹ × 3343¹

Step-3: Factors of 20046

List of positive integer factors of 20046 that divides 20046 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 257, 514, 771, 1542, 3341, 6682, 10023

Step-4: Factors of 20058

List of positive integer factors of 20058 that divides 20046 without a remainder.

1, 2, 3, 6, 3343, 6686, 10029

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20046 and 20058. The biggest common factor number is the GCF number.
So the greatest common factor 20046 and 20058 is 6.

Also check out the Least Common Multiple of 20046 and 20058