What is the Greatest Common Factor of 23028 and 23038?

Greatest common factor (GCF) of 23028 and 23038 is 2.

GCF(23028,23038) = 2

We will now calculate the prime factors of 23028 and 23038, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23028 and 23038.

How to find the GCF of 23028 and 23038?

We will first find the prime factorization of 23028 and 23038. After we will calculate the factors of 23028 and 23038 and find the biggest common factor number .

Step-1: Prime Factorization of 23028

Prime factors of 23028 are 2, 3, 19, 101. Prime factorization of 23028 in exponential form is:

23028 = 2² × 3¹ × 19¹ × 101¹

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 23028

List of positive integer factors of 23028 that divides 23028 without a remainder.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 101, 114, 202, 228, 303, 404, 606, 1212, 1919, 3838, 5757, 7676, 11514

Step-4: Factors of 23038

List of positive integer factors of 23038 that divides 23028 without a remainder.

1, 2, 11519

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23028 and 23038. The biggest common factor number is the GCF number.
So the greatest common factor 23028 and 23038 is 2.

Also check out the Least Common Multiple of 23028 and 23038