What is the Greatest Common Factor of 20034 and 20054?

Greatest common factor (GCF) of 20034 and 20054 is 2.

GCF(20034,20054) = 2

We will now calculate the prime factors of 20034 and 20054, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20034 and 20054.

How to find the GCF of 20034 and 20054?

We will first find the prime factorization of 20034 and 20054. After we will calculate the factors of 20034 and 20054 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 20054

Prime factors of 20054 are 2, 37, 271. Prime factorization of 20054 in exponential form is:

20054 = 2¹ × 37¹ × 271¹

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 20054

List of positive integer factors of 20054 that divides 20034 without a remainder.

1, 2, 37, 74, 271, 542, 10027

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20034 and 20054. The biggest common factor number is the GCF number.
So the greatest common factor 20034 and 20054 is 2.

Also check out the Least Common Multiple of 20034 and 20054