What is the Greatest Common Factor of 28457 and 28464?

Greatest common factor (GCF) of 28457 and 28464 is 1.

GCF(28457,28464) = 1

We will now calculate the prime factors of 28457 and 28464, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28457 and 28464.

How to find the GCF of 28457 and 28464?

We will first find the prime factorization of 28457 and 28464. After we will calculate the factors of 28457 and 28464 and find the biggest common factor number .

Step-1: Prime Factorization of 28457

Prime factors of 28457 are 11, 13, 199. Prime factorization of 28457 in exponential form is:

28457 = 11¹ × 13¹ × 199¹

Step-2: 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-3: Factors of 28457

List of positive integer factors of 28457 that divides 28457 without a remainder.

1, 11, 13, 143, 199, 2189, 2587

Step-4: Factors of 28464

List of positive integer factors of 28464 that divides 28457 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28457 and 28464. The biggest common factor number is the GCF number.
So the greatest common factor 28457 and 28464 is 1.

Also check out the Least Common Multiple of 28457 and 28464