What is the Greatest Common Factor of 28770 and 28785?

Greatest common factor (GCF) of 28770 and 28785 is 15.

GCF(28770,28785) = 15

We will now calculate the prime factors of 28770 and 28785, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28770 and 28785.

How to find the GCF of 28770 and 28785?

We will first find the prime factorization of 28770 and 28785. After we will calculate the factors of 28770 and 28785 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 28785

Prime factors of 28785 are 3, 5, 19, 101. Prime factorization of 28785 in exponential form is:

28785 = 3¹ × 5¹ × 19¹ × 101¹

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 28785

List of positive integer factors of 28785 that divides 28770 without a remainder.

1, 3, 5, 15, 19, 57, 95, 101, 285, 303, 505, 1515, 1919, 5757, 9595

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28770 and 28785. The biggest common factor number is the GCF number.
So the greatest common factor 28770 and 28785 is 15.

Also check out the Least Common Multiple of 28770 and 28785