What is the Greatest Common Factor of 28770 and 28779?

Greatest common factor (GCF) of 28770 and 28779 is 3.

GCF(28770,28779) = 3

We will now calculate the prime factors of 28770 and 28779, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28770 and 28779.

How to find the GCF of 28770 and 28779?

We will first find the prime factorization of 28770 and 28779. After we will calculate the factors of 28770 and 28779 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 28779

Prime factors of 28779 are 3, 53, 181. Prime factorization of 28779 in exponential form is:

28779 = 3¹ × 53¹ × 181¹

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 28779

List of positive integer factors of 28779 that divides 28770 without a remainder.

1, 3, 53, 159, 181, 543, 9593

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28770 and 28779. The biggest common factor number is the GCF number.
So the greatest common factor 28770 and 28779 is 3.

Also check out the Least Common Multiple of 28770 and 28779