What is the Greatest Common Factor of 28441 and 28458?

Greatest common factor (GCF) of 28441 and 28458 is 17.

GCF(28441,28458) = 17

We will now calculate the prime factors of 28441 and 28458, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28441 and 28458.

How to find the GCF of 28441 and 28458?

We will first find the prime factorization of 28441 and 28458. After we will calculate the factors of 28441 and 28458 and find the biggest common factor number .

Step-1: Prime Factorization of 28441

Prime factors of 28441 are 7, 17, 239. Prime factorization of 28441 in exponential form is:

28441 = 7¹ × 17¹ × 239¹

Step-2: Prime Factorization of 28458

Prime factors of 28458 are 2, 3, 17, 31. Prime factorization of 28458 in exponential form is:

28458 = 2¹ × 3³ × 17¹ × 31¹

Step-3: Factors of 28441

List of positive integer factors of 28441 that divides 28441 without a remainder.

1, 7, 17, 119, 239, 1673, 4063

Step-4: Factors of 28458

List of positive integer factors of 28458 that divides 28441 without a remainder.

1, 2, 3, 6, 9, 17, 18, 27, 31, 34, 51, 54, 62, 93, 102, 153, 186, 279, 306, 459, 527, 558, 837, 918, 1054, 1581, 1674, 3162, 4743, 9486, 14229

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28441 and 28458. The biggest common factor number is the GCF number.
So the greatest common factor 28441 and 28458 is 17.

Also check out the Least Common Multiple of 28441 and 28458