What is the Greatest Common Factor of 28770 and 28780?

Greatest common factor (GCF) of 28770 and 28780 is 10.

GCF(28770,28780) = 10

We will now calculate the prime factors of 28770 and 28780, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28770 and 28780.

How to find the GCF of 28770 and 28780?

We will first find the prime factorization of 28770 and 28780. After we will calculate the factors of 28770 and 28780 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 28780

Prime factors of 28780 are 2, 5, 1439. Prime factorization of 28780 in exponential form is:

28780 = 2² × 5¹ × 1439¹

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 28780

List of positive integer factors of 28780 that divides 28770 without a remainder.

1, 2, 4, 5, 10, 20, 1439, 2878, 5756, 7195, 14390

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28770 and 28780. The biggest common factor number is the GCF number.
So the greatest common factor 28770 and 28780 is 10.

Also check out the Least Common Multiple of 28770 and 28780