What is the Greatest Common Factor of 28709 and 28728?

Greatest common factor (GCF) of 28709 and 28728 is 19.

GCF(28709,28728) = 19

We will now calculate the prime factors of 28709 and 28728, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28709 and 28728.

How to find the GCF of 28709 and 28728?

We will first find the prime factorization of 28709 and 28728. After we will calculate the factors of 28709 and 28728 and find the biggest common factor number .

Step-1: Prime Factorization of 28709

Prime factors of 28709 are 19, 1511. Prime factorization of 28709 in exponential form is:

28709 = 19¹ × 1511¹

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 28709

List of positive integer factors of 28709 that divides 28709 without a remainder.

1, 19, 1511

Step-4: Factors of 28728

List of positive integer factors of 28728 that divides 28709 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 28709 and 28728. The biggest common factor number is the GCF number.
So the greatest common factor 28709 and 28728 is 19.

Also check out the Least Common Multiple of 28709 and 28728