What is the Greatest Common Factor of 30609 and 30628?

Greatest common factor (GCF) of 30609 and 30628 is 19.

GCF(30609,30628) = 19

We will now calculate the prime factors of 30609 and 30628, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30609 and 30628.

How to find the GCF of 30609 and 30628?

We will first find the prime factorization of 30609 and 30628. After we will calculate the factors of 30609 and 30628 and find the biggest common factor number .

Step-1: Prime Factorization of 30609

Prime factors of 30609 are 3, 19, 179. Prime factorization of 30609 in exponential form is:

30609 = 3² × 19¹ × 179¹

Step-2: Prime Factorization of 30628

Prime factors of 30628 are 2, 13, 19, 31. Prime factorization of 30628 in exponential form is:

30628 = 2² × 13¹ × 19¹ × 31¹

Step-3: Factors of 30609

List of positive integer factors of 30609 that divides 30609 without a remainder.

1, 3, 9, 19, 57, 171, 179, 537, 1611, 3401, 10203

Step-4: Factors of 30628

List of positive integer factors of 30628 that divides 30609 without a remainder.

1, 2, 4, 13, 19, 26, 31, 38, 52, 62, 76, 124, 247, 403, 494, 589, 806, 988, 1178, 1612, 2356, 7657, 15314

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30609 and 30628. The biggest common factor number is the GCF number.
So the greatest common factor 30609 and 30628 is 19.

Also check out the Least Common Multiple of 30609 and 30628