What is the Greatest Common Factor of 30508 and 30520?

Greatest common factor (GCF) of 30508 and 30520 is 4.

GCF(30508,30520) = 4

We will now calculate the prime factors of 30508 and 30520, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30508 and 30520.

How to find the GCF of 30508 and 30520?

We will first find the prime factorization of 30508 and 30520. After we will calculate the factors of 30508 and 30520 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 30520

Prime factors of 30520 are 2, 5, 7, 109. Prime factorization of 30520 in exponential form is:

30520 = 2³ × 5¹ × 7¹ × 109¹

Step-3: Factors of 30508

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

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

Step-4: Factors of 30520

List of positive integer factors of 30520 that divides 30508 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 109, 140, 218, 280, 436, 545, 763, 872, 1090, 1526, 2180, 3052, 3815, 4360, 6104, 7630, 15260

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30508 and 30520. The biggest common factor number is the GCF number.
So the greatest common factor 30508 and 30520 is 4.

Also check out the Least Common Multiple of 30508 and 30520