What is the Greatest Common Factor of 28624 and 28630?

Greatest common factor (GCF) of 28624 and 28630 is 2.

GCF(28624,28630) = 2

We will now calculate the prime factors of 28624 and 28630, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28624 and 28630.

How to find the GCF of 28624 and 28630?

We will first find the prime factorization of 28624 and 28630. After we will calculate the factors of 28624 and 28630 and find the biggest common factor number .

Step-1: Prime Factorization of 28624

Prime factors of 28624 are 2, 1789. Prime factorization of 28624 in exponential form is:

28624 = 2⁴ × 1789¹

Step-2: 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-3: Factors of 28624

List of positive integer factors of 28624 that divides 28624 without a remainder.

1, 2, 4, 8, 16, 1789, 3578, 7156, 14312

Step-4: Factors of 28630

List of positive integer factors of 28630 that divides 28624 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28624 and 28630. The biggest common factor number is the GCF number.
So the greatest common factor 28624 and 28630 is 2.

Also check out the Least Common Multiple of 28624 and 28630