What is the Greatest Common Factor of 28805 and 28820?

Greatest common factor (GCF) of 28805 and 28820 is 5.

GCF(28805,28820) = 5

We will now calculate the prime factors of 28805 and 28820, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28805 and 28820.

How to find the GCF of 28805 and 28820?

We will first find the prime factorization of 28805 and 28820. After we will calculate the factors of 28805 and 28820 and find the biggest common factor number .

Step-1: Prime Factorization of 28805

Prime factors of 28805 are 5, 7, 823. Prime factorization of 28805 in exponential form is:

28805 = 5¹ × 7¹ × 823¹

Step-2: Prime Factorization of 28820

Prime factors of 28820 are 2, 5, 11, 131. Prime factorization of 28820 in exponential form is:

28820 = 2² × 5¹ × 11¹ × 131¹

Step-3: Factors of 28805

List of positive integer factors of 28805 that divides 28805 without a remainder.

1, 5, 7, 35, 823, 4115, 5761

Step-4: Factors of 28820

List of positive integer factors of 28820 that divides 28805 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 131, 220, 262, 524, 655, 1310, 1441, 2620, 2882, 5764, 7205, 14410

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28805 and 28820. The biggest common factor number is the GCF number.
So the greatest common factor 28805 and 28820 is 5.

Also check out the Least Common Multiple of 28805 and 28820