What is the Greatest Common Factor of 28714 and 28734?

Greatest common factor (GCF) of 28714 and 28734 is 2.

GCF(28714,28734) = 2

We will now calculate the prime factors of 28714 and 28734, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28714 and 28734.

How to find the GCF of 28714 and 28734?

We will first find the prime factorization of 28714 and 28734. After we will calculate the factors of 28714 and 28734 and find the biggest common factor number .

Step-1: Prime Factorization of 28714

Prime factors of 28714 are 2, 7, 293. Prime factorization of 28714 in exponential form is:

28714 = 2¹ × 7² × 293¹

Step-2: Prime Factorization of 28734

Prime factors of 28734 are 2, 3, 4789. Prime factorization of 28734 in exponential form is:

28734 = 2¹ × 3¹ × 4789¹

Step-3: Factors of 28714

List of positive integer factors of 28714 that divides 28714 without a remainder.

1, 2, 7, 14, 49, 98, 293, 586, 2051, 4102, 14357

Step-4: Factors of 28734

List of positive integer factors of 28734 that divides 28714 without a remainder.

1, 2, 3, 6, 4789, 9578, 14367

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28714 and 28734. The biggest common factor number is the GCF number.
So the greatest common factor 28714 and 28734 is 2.

Also check out the Least Common Multiple of 28714 and 28734