What is the Greatest Common Factor of 28770 and 28784?

Greatest common factor (GCF) of 28770 and 28784 is 14.

GCF(28770,28784) = 14

We will now calculate the prime factors of 28770 and 28784, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28770 and 28784.

How to find the GCF of 28770 and 28784?

We will first find the prime factorization of 28770 and 28784. After we will calculate the factors of 28770 and 28784 and find the biggest common factor number .

Step-1: Prime Factorization of 28770

Prime factors of 28770 are 2, 3, 5, 7, 137. Prime factorization of 28770 in exponential form is:

28770 = 2¹ × 3¹ × 5¹ × 7¹ × 137¹

Step-2: Prime Factorization of 28784

Prime factors of 28784 are 2, 7, 257. Prime factorization of 28784 in exponential form is:

28784 = 2⁴ × 7¹ × 257¹

Step-3: Factors of 28770

List of positive integer factors of 28770 that divides 28770 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 137, 210, 274, 411, 685, 822, 959, 1370, 1918, 2055, 2877, 4110, 4795, 5754, 9590, 14385

Step-4: Factors of 28784

List of positive integer factors of 28784 that divides 28770 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 257, 514, 1028, 1799, 2056, 3598, 4112, 7196, 14392

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28770 and 28784. The biggest common factor number is the GCF number.
So the greatest common factor 28770 and 28784 is 14.

Also check out the Least Common Multiple of 28770 and 28784