What is the Greatest Common Factor of 28742 and 28749?

Greatest common factor (GCF) of 28742 and 28749 is 7.

GCF(28742,28749) = 7

We will now calculate the prime factors of 28742 and 28749, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28742 and 28749.

How to find the GCF of 28742 and 28749?

We will first find the prime factorization of 28742 and 28749. After we will calculate the factors of 28742 and 28749 and find the biggest common factor number .

Step-1: Prime Factorization of 28742

Prime factors of 28742 are 2, 7, 2053. Prime factorization of 28742 in exponential form is:

28742 = 2¹ × 7¹ × 2053¹

Step-2: Prime Factorization of 28749

Prime factors of 28749 are 3, 7, 37. Prime factorization of 28749 in exponential form is:

28749 = 3¹ × 7¹ × 37²

Step-3: Factors of 28742

List of positive integer factors of 28742 that divides 28742 without a remainder.

1, 2, 7, 14, 2053, 4106, 14371

Step-4: Factors of 28749

List of positive integer factors of 28749 that divides 28742 without a remainder.

1, 3, 7, 21, 37, 111, 259, 777, 1369, 4107, 9583

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28742 and 28749. The biggest common factor number is the GCF number.
So the greatest common factor 28742 and 28749 is 7.

Also check out the Least Common Multiple of 28742 and 28749