What is the Greatest Common Factor of 10034 and 10054?

Greatest common factor (GCF) of 10034 and 10054 is 2.

GCF(10034,10054) = 2

We will now calculate the prime factors of 10034 and 10054, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10034 and 10054.

How to find the GCF of 10034 and 10054?

We will first find the prime factorization of 10034 and 10054. After we will calculate the factors of 10034 and 10054 and find the biggest common factor number .

Step-1: Prime Factorization of 10034

Prime factors of 10034 are 2, 29, 173. Prime factorization of 10034 in exponential form is:

10034 = 2¹ × 29¹ × 173¹

Step-2: Prime Factorization of 10054

Prime factors of 10054 are 2, 11, 457. Prime factorization of 10054 in exponential form is:

10054 = 2¹ × 11¹ × 457¹

Step-3: Factors of 10034

List of positive integer factors of 10034 that divides 10034 without a remainder.

1, 2, 29, 58, 173, 346, 5017

Step-4: Factors of 10054

List of positive integer factors of 10054 that divides 10034 without a remainder.

1, 2, 11, 22, 457, 914, 5027

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10034 and 10054. The biggest common factor number is the GCF number.
So the greatest common factor 10034 and 10054 is 2.

Also check out the Least Common Multiple of 10034 and 10054