What is the Greatest Common Factor of 23030 and 23044?

Greatest common factor (GCF) of 23030 and 23044 is 14.

GCF(23030,23044) = 14

We will now calculate the prime factors of 23030 and 23044, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23030 and 23044.

How to find the GCF of 23030 and 23044?

We will first find the prime factorization of 23030 and 23044. After we will calculate the factors of 23030 and 23044 and find the biggest common factor number .

Step-1: Prime Factorization of 23030

Prime factors of 23030 are 2, 5, 7, 47. Prime factorization of 23030 in exponential form is:

23030 = 2¹ × 5¹ × 7² × 47¹

Step-2: Prime Factorization of 23044

Prime factors of 23044 are 2, 7, 823. Prime factorization of 23044 in exponential form is:

23044 = 2² × 7¹ × 823¹

Step-3: Factors of 23030

List of positive integer factors of 23030 that divides 23030 without a remainder.

1, 2, 5, 7, 10, 14, 35, 47, 49, 70, 94, 98, 235, 245, 329, 470, 490, 658, 1645, 2303, 3290, 4606, 11515

Step-4: Factors of 23044

List of positive integer factors of 23044 that divides 23030 without a remainder.

1, 2, 4, 7, 14, 28, 823, 1646, 3292, 5761, 11522

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23030 and 23044. The biggest common factor number is the GCF number.
So the greatest common factor 23030 and 23044 is 14.

Also check out the Least Common Multiple of 23030 and 23044