What is the Greatest Common Factor of 28023 and 28040?

Greatest common factor (GCF) of 28023 and 28040 is 1.

GCF(28023,28040) = 1

We will now calculate the prime factors of 28023 and 28040, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28023 and 28040.

How to find the GCF of 28023 and 28040?

We will first find the prime factorization of 28023 and 28040. After we will calculate the factors of 28023 and 28040 and find the biggest common factor number .

Step-1: Prime Factorization of 28023

Prime factors of 28023 are 3, 9341. Prime factorization of 28023 in exponential form is:

28023 = 3¹ × 9341¹

Step-2: Prime Factorization of 28040

Prime factors of 28040 are 2, 5, 701. Prime factorization of 28040 in exponential form is:

28040 = 2³ × 5¹ × 701¹

Step-3: Factors of 28023

List of positive integer factors of 28023 that divides 28023 without a remainder.

1, 3, 9341

Step-4: Factors of 28040

List of positive integer factors of 28040 that divides 28023 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 701, 1402, 2804, 3505, 5608, 7010, 14020

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28023 and 28040. The biggest common factor number is the GCF number.
So the greatest common factor 28023 and 28040 is 1.

Also check out the Least Common Multiple of 28023 and 28040