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What is the Greatest Common Factor of 23028 and 23047?

Greatest common factor (GCF) of 23028 and 23047 is 19.

GCF(23028,23047) = 19

We will now calculate the prime factors of 23028 and 23047, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23028 and 23047.

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How to find the GCF of 23028 and 23047?

We will first find the prime factorization of 23028 and 23047. After we will calculate the factors of 23028 and 23047 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 23047

Prime factors of 23047 are 19, 1213. Prime factorization of 23047 in exponential form is:

23047 = 191 × 12131

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 23047

List of positive integer factors of 23047 that divides 23028 without a remainder.

1, 19, 1213

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23028 and 23047. The biggest common factor number is the GCF number.
So the greatest common factor 23028 and 23047 is 19.

Also check out the Least Common Multiple of 23028 and 23047