What is the Greatest Common Factor of 30472 and 30485?

Greatest common factor (GCF) of 30472 and 30485 is 13.

GCF(30472,30485) = 13

We will now calculate the prime factors of 30472 and 30485, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30472 and 30485.

How to find the GCF of 30472 and 30485?

We will first find the prime factorization of 30472 and 30485. After we will calculate the factors of 30472 and 30485 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 30485

Prime factors of 30485 are 5, 7, 13, 67. Prime factorization of 30485 in exponential form is:

30485 = 5¹ × 7¹ × 13¹ × 67¹

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 30485

List of positive integer factors of 30485 that divides 30472 without a remainder.

1, 5, 7, 13, 35, 65, 67, 91, 335, 455, 469, 871, 2345, 4355, 6097

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30472 and 30485. The biggest common factor number is the GCF number.
So the greatest common factor 30472 and 30485 is 13.

Also check out the Least Common Multiple of 30472 and 30485