What is the Greatest Common Factor of 30500 and 30505?

Greatest common factor (GCF) of 30500 and 30505 is 5.

GCF(30500,30505) = 5

We will now calculate the prime factors of 30500 and 30505, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30500 and 30505.

How to find the GCF of 30500 and 30505?

We will first find the prime factorization of 30500 and 30505. After we will calculate the factors of 30500 and 30505 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 30505

Prime factors of 30505 are 5, 6101. Prime factorization of 30505 in exponential form is:

30505 = 5¹ × 6101¹

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 30505

List of positive integer factors of 30505 that divides 30500 without a remainder.

1, 5, 6101

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30500 and 30505. The biggest common factor number is the GCF number.
So the greatest common factor 30500 and 30505 is 5.

Also check out the Least Common Multiple of 30500 and 30505