What is the Greatest Common Factor of 28438 and 28457?

Greatest common factor (GCF) of 28438 and 28457 is 1.

GCF(28438,28457) = 1

We will now calculate the prime factors of 28438 and 28457, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28438 and 28457.

How to find the GCF of 28438 and 28457?

We will first find the prime factorization of 28438 and 28457. After we will calculate the factors of 28438 and 28457 and find the biggest common factor number .

Step-1: Prime Factorization of 28438

Prime factors of 28438 are 2, 59, 241. Prime factorization of 28438 in exponential form is:

28438 = 2¹ × 59¹ × 241¹

Step-2: 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-3: Factors of 28438

List of positive integer factors of 28438 that divides 28438 without a remainder.

1, 2, 59, 118, 241, 482, 14219

Step-4: Factors of 28457

List of positive integer factors of 28457 that divides 28438 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28438 and 28457. The biggest common factor number is the GCF number.
So the greatest common factor 28438 and 28457 is 1.

Also check out the Least Common Multiple of 28438 and 28457