What is the Greatest Common Factor of 23030 and 23038?

Greatest common factor (GCF) of 23030 and 23038 is 2.

GCF(23030,23038) = 2

We will now calculate the prime factors of 23030 and 23038, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23030 and 23038.

How to find the GCF of 23030 and 23038?

We will first find the prime factorization of 23030 and 23038. After we will calculate the factors of 23030 and 23038 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 23038

Prime factors of 23038 are 2, 11519. Prime factorization of 23038 in exponential form is:

23038 = 2¹ × 11519¹

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 23038

List of positive integer factors of 23038 that divides 23030 without a remainder.

1, 2, 11519

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23030 and 23038. The biggest common factor number is the GCF number.
So the greatest common factor 23030 and 23038 is 2.

Also check out the Least Common Multiple of 23030 and 23038