What is the Greatest Common Factor of 30628 and 30645?

Greatest common factor (GCF) of 30628 and 30645 is 1.

GCF(30628,30645) = 1

We will now calculate the prime factors of 30628 and 30645, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30628 and 30645.

How to find the GCF of 30628 and 30645?

We will first find the prime factorization of 30628 and 30645. After we will calculate the factors of 30628 and 30645 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 30645

Prime factors of 30645 are 3, 5, 227. Prime factorization of 30645 in exponential form is:

30645 = 3³ × 5¹ × 227¹

Step-3: Factors of 30628

List of positive integer factors of 30628 that divides 30628 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

Step-4: Factors of 30645

List of positive integer factors of 30645 that divides 30628 without a remainder.

1, 3, 5, 9, 15, 27, 45, 135, 227, 681, 1135, 2043, 3405, 6129, 10215

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30628 and 30645. The biggest common factor number is the GCF number.
So the greatest common factor 30628 and 30645 is 1.

Also check out the Least Common Multiple of 30628 and 30645