What is the Greatest Common Factor of 28464 and 28474?

Greatest common factor (GCF) of 28464 and 28474 is 2.

GCF(28464,28474) = 2

We will now calculate the prime factors of 28464 and 28474, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28464 and 28474.

How to find the GCF of 28464 and 28474?

We will first find the prime factorization of 28464 and 28474. After we will calculate the factors of 28464 and 28474 and find the biggest common factor number .

Step-1: Prime Factorization of 28464

Prime factors of 28464 are 2, 3, 593. Prime factorization of 28464 in exponential form is:

28464 = 2⁴ × 3¹ × 593¹

Step-2: Prime Factorization of 28474

Prime factors of 28474 are 2, 23, 619. Prime factorization of 28474 in exponential form is:

28474 = 2¹ × 23¹ × 619¹

Step-3: Factors of 28464

List of positive integer factors of 28464 that divides 28464 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 593, 1186, 1779, 2372, 3558, 4744, 7116, 9488, 14232

Step-4: Factors of 28474

List of positive integer factors of 28474 that divides 28464 without a remainder.

1, 2, 23, 46, 619, 1238, 14237

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28464 and 28474. The biggest common factor number is the GCF number.
So the greatest common factor 28464 and 28474 is 2.

Also check out the Least Common Multiple of 28464 and 28474