What is the Greatest Common Factor of 30472 and 30487?

Greatest common factor (GCF) of 30472 and 30487 is 1.

GCF(30472,30487) = 1

We will now calculate the prime factors of 30472 and 30487, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30472 and 30487.

How to find the GCF of 30472 and 30487?

We will first find the prime factorization of 30472 and 30487. After we will calculate the factors of 30472 and 30487 and find the biggest common factor number .

Step-1: Prime Factorization of 30472

Prime factors of 30472 are 2, 13, 293. Prime factorization of 30472 in exponential form is:

30472 = 2³ × 13¹ × 293¹

Step-2: Prime Factorization of 30487

Prime factors of 30487 are 43, 709. Prime factorization of 30487 in exponential form is:

30487 = 43¹ × 709¹

Step-3: Factors of 30472

List of positive integer factors of 30472 that divides 30472 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104, 293, 586, 1172, 2344, 3809, 7618, 15236

Step-4: Factors of 30487

List of positive integer factors of 30487 that divides 30472 without a remainder.

1, 43, 709

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30472 and 30487. The biggest common factor number is the GCF number.
So the greatest common factor 30472 and 30487 is 1.

Also check out the Least Common Multiple of 30472 and 30487