What is the Greatest Common Factor of 28630 and 28640?

Greatest common factor (GCF) of 28630 and 28640 is 10.

GCF(28630,28640) = 10

We will now calculate the prime factors of 28630 and 28640, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28630 and 28640.

How to find the GCF of 28630 and 28640?

We will first find the prime factorization of 28630 and 28640. After we will calculate the factors of 28630 and 28640 and find the biggest common factor number .

Step-1: Prime Factorization of 28630

Prime factors of 28630 are 2, 5, 7, 409. Prime factorization of 28630 in exponential form is:

28630 = 2¹ × 5¹ × 7¹ × 409¹

Step-2: 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-3: Factors of 28630

List of positive integer factors of 28630 that divides 28630 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 409, 818, 2045, 2863, 4090, 5726, 14315

Step-4: Factors of 28640

List of positive integer factors of 28640 that divides 28630 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28630 and 28640. The biggest common factor number is the GCF number.
So the greatest common factor 28630 and 28640 is 10.

Also check out the Least Common Multiple of 28630 and 28640