What is the Greatest Common Factor of 30628 and 30634?

Greatest common factor (GCF) of 30628 and 30634 is 2.

GCF(30628,30634) = 2

We will now calculate the prime factors of 30628 and 30634, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30628 and 30634.

How to find the GCF of 30628 and 30634?

We will first find the prime factorization of 30628 and 30634. After we will calculate the factors of 30628 and 30634 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 30634

Prime factors of 30634 are 2, 17, 53. Prime factorization of 30634 in exponential form is:

30634 = 2¹ × 17² × 53¹

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 30634

List of positive integer factors of 30634 that divides 30628 without a remainder.

1, 2, 17, 34, 53, 106, 289, 578, 901, 1802, 15317

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30628 and 30634. The biggest common factor number is the GCF number.
So the greatest common factor 30628 and 30634 is 2.

Also check out the Least Common Multiple of 30628 and 30634