What is the Greatest Common Factor of 20034 and 20046?

Greatest common factor (GCF) of 20034 and 20046 is 6.

GCF(20034,20046) = 6

We will now calculate the prime factors of 20034 and 20046, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20034 and 20046.

How to find the GCF of 20034 and 20046?

We will first find the prime factorization of 20034 and 20046. After we will calculate the factors of 20034 and 20046 and find the biggest common factor number .

Step-1: Prime Factorization of 20034

Prime factors of 20034 are 2, 3, 7, 53. Prime factorization of 20034 in exponential form is:

20034 = 2¹ × 3³ × 7¹ × 53¹

Step-2: 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-3: Factors of 20034

List of positive integer factors of 20034 that divides 20034 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 53, 54, 63, 106, 126, 159, 189, 318, 371, 378, 477, 742, 954, 1113, 1431, 2226, 2862, 3339, 6678, 10017

Step-4: Factors of 20046

List of positive integer factors of 20046 that divides 20034 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20034 and 20046. The biggest common factor number is the GCF number.
So the greatest common factor 20034 and 20046 is 6.

Also check out the Least Common Multiple of 20034 and 20046