What is the Greatest Common Factor of 23023 and 23030?

Greatest common factor (GCF) of 23023 and 23030 is 7.

GCF(23023,23030) = 7

We will now calculate the prime factors of 23023 and 23030, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23023 and 23030.

How to find the GCF of 23023 and 23030?

We will first find the prime factorization of 23023 and 23030. After we will calculate the factors of 23023 and 23030 and find the biggest common factor number .

Step-1: Prime Factorization of 23023

Prime factors of 23023 are 7, 11, 13, 23. Prime factorization of 23023 in exponential form is:

23023 = 7¹ × 11¹ × 13¹ × 23¹

Step-2: 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-3: Factors of 23023

List of positive integer factors of 23023 that divides 23023 without a remainder.

1, 7, 11, 13, 23, 77, 91, 143, 161, 253, 299, 1001, 1771, 2093, 3289

Step-4: Factors of 23030

List of positive integer factors of 23030 that divides 23023 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23023 and 23030. The biggest common factor number is the GCF number.
So the greatest common factor 23023 and 23030 is 7.

Also check out the Least Common Multiple of 23023 and 23030