What is the Greatest Common Factor of 28714 and 28728?

Greatest common factor (GCF) of 28714 and 28728 is 14.

GCF(28714,28728) = 14

We will now calculate the prime factors of 28714 and 28728, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28714 and 28728.

How to find the GCF of 28714 and 28728?

We will first find the prime factorization of 28714 and 28728. After we will calculate the factors of 28714 and 28728 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 28728

Prime factors of 28728 are 2, 3, 7, 19. Prime factorization of 28728 in exponential form is:

28728 = 2³ × 3³ × 7¹ × 19¹

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 28728

List of positive integer factors of 28728 that divides 28714 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 19, 21, 24, 27, 28, 36, 38, 42, 54, 56, 57, 63, 72, 76, 84, 108, 114, 126, 133, 152, 168, 171, 189, 216, 228, 252, 266, 342, 378, 399, 456, 504, 513, 532, 684, 756, 798, 1026, 1064, 1197, 1368, 1512, 1596, 2052, 2394, 3192, 3591, 4104, 4788, 7182, 9576, 14364

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28714 and 28728. The biggest common factor number is the GCF number.
So the greatest common factor 28714 and 28728 is 14.

Also check out the Least Common Multiple of 28714 and 28728