What is the Greatest Common Factor of 28744 and 28758?

Greatest common factor (GCF) of 28744 and 28758 is 2.

GCF(28744,28758) = 2

We will now calculate the prime factors of 28744 and 28758, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28744 and 28758.

How to find the GCF of 28744 and 28758?

We will first find the prime factorization of 28744 and 28758. After we will calculate the factors of 28744 and 28758 and find the biggest common factor number .

Step-1: Prime Factorization of 28744

Prime factors of 28744 are 2, 3593. Prime factorization of 28744 in exponential form is:

28744 = 2³ × 3593¹

Step-2: Prime Factorization of 28758

Prime factors of 28758 are 2, 3, 4793. Prime factorization of 28758 in exponential form is:

28758 = 2¹ × 3¹ × 4793¹

Step-3: Factors of 28744

List of positive integer factors of 28744 that divides 28744 without a remainder.

1, 2, 4, 8, 3593, 7186, 14372

Step-4: Factors of 28758

List of positive integer factors of 28758 that divides 28744 without a remainder.

1, 2, 3, 6, 4793, 9586, 14379

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28744 and 28758. The biggest common factor number is the GCF number.
So the greatest common factor 28744 and 28758 is 2.

Also check out the Least Common Multiple of 28744 and 28758