What is the Greatest Common Factor of 28640 and 28649?

Greatest common factor (GCF) of 28640 and 28649 is 1.

GCF(28640,28649) = 1

We will now calculate the prime factors of 28640 and 28649, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28640 and 28649.

How to find the GCF of 28640 and 28649?

We will first find the prime factorization of 28640 and 28649. After we will calculate the factors of 28640 and 28649 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 28649

Prime factors of 28649 are 28649. Prime factorization of 28649 in exponential form is:

28649 = 28649¹

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 28649

List of positive integer factors of 28649 that divides 28640 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28640 and 28649. The biggest common factor number is the GCF number.
So the greatest common factor 28640 and 28649 is 1.

Also check out the Least Common Multiple of 28640 and 28649