What is the Greatest Common Factor of 30500 and 30508?

Greatest common factor (GCF) of 30500 and 30508 is 4.

GCF(30500,30508) = 4

We will now calculate the prime factors of 30500 and 30508, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30500 and 30508.

How to find the GCF of 30500 and 30508?

We will first find the prime factorization of 30500 and 30508. After we will calculate the factors of 30500 and 30508 and find the biggest common factor number .

Step-1: Prime Factorization of 30500

Prime factors of 30500 are 2, 5, 61. Prime factorization of 30500 in exponential form is:

30500 = 2² × 5³ × 61¹

Step-2: Prime Factorization of 30508

Prime factors of 30508 are 2, 29, 263. Prime factorization of 30508 in exponential form is:

30508 = 2² × 29¹ × 263¹

Step-3: Factors of 30500

List of positive integer factors of 30500 that divides 30500 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 61, 100, 122, 125, 244, 250, 305, 500, 610, 1220, 1525, 3050, 6100, 7625, 15250

Step-4: Factors of 30508

List of positive integer factors of 30508 that divides 30500 without a remainder.

1, 2, 4, 29, 58, 116, 263, 526, 1052, 7627, 15254

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30500 and 30508. The biggest common factor number is the GCF number.
So the greatest common factor 30500 and 30508 is 4.

Also check out the Least Common Multiple of 30500 and 30508