What is the Greatest Common Factor of 28640 and 28650?

Greatest common factor (GCF) of 28640 and 28650 is 10.

GCF(28640,28650) = 10

We will now calculate the prime factors of 28640 and 28650, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28640 and 28650.

How to find the GCF of 28640 and 28650?

We will first find the prime factorization of 28640 and 28650. After we will calculate the factors of 28640 and 28650 and find the biggest common factor number .

Step-1: Prime Factorization of 28640

Prime factors of 28640 are 2, 5, 179. Prime factorization of 28640 in exponential form is:

28640 = 2⁵ × 5¹ × 179¹

Step-2: Prime Factorization of 28650

Prime factors of 28650 are 2, 3, 5, 191. Prime factorization of 28650 in exponential form is:

28650 = 2¹ × 3¹ × 5² × 191¹

Step-3: Factors of 28640

List of positive integer factors of 28640 that divides 28640 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160, 179, 358, 716, 895, 1432, 1790, 2864, 3580, 5728, 7160, 14320

Step-4: Factors of 28650

List of positive integer factors of 28650 that divides 28640 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150, 191, 382, 573, 955, 1146, 1910, 2865, 4775, 5730, 9550, 14325

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28640 and 28650. The biggest common factor number is the GCF number.
So the greatest common factor 28640 and 28650 is 10.

Also check out the Least Common Multiple of 28640 and 28650