What is the Greatest Common Factor of 10054 and 10065?

Greatest common factor (GCF) of 10054 and 10065 is 11.

GCF(10054,10065) = 11

We will now calculate the prime factors of 10054 and 10065, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10054 and 10065.

How to find the GCF of 10054 and 10065?

We will first find the prime factorization of 10054 and 10065. After we will calculate the factors of 10054 and 10065 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 10065

Prime factors of 10065 are 3, 5, 11, 61. Prime factorization of 10065 in exponential form is:

10065 = 3¹ × 5¹ × 11¹ × 61¹

Step-3: Factors of 10054

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

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

Step-4: Factors of 10065

List of positive integer factors of 10065 that divides 10054 without a remainder.

1, 3, 5, 11, 15, 33, 55, 61, 165, 183, 305, 671, 915, 2013, 3355

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10054 and 10065. The biggest common factor number is the GCF number.
So the greatest common factor 10054 and 10065 is 11.

Also check out the Least Common Multiple of 10054 and 10065