What is the Greatest Common Factor of 30576 and 30581?

Greatest common factor (GCF) of 30576 and 30581 is 1.

GCF(30576,30581) = 1

We will now calculate the prime factors of 30576 and 30581, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30576 and 30581.

How to find the GCF of 30576 and 30581?

We will first find the prime factorization of 30576 and 30581. After we will calculate the factors of 30576 and 30581 and find the biggest common factor number .

Step-1: Prime Factorization of 30576

Prime factors of 30576 are 2, 3, 7, 13. Prime factorization of 30576 in exponential form is:

30576 = 2⁴ × 3¹ × 7² × 13¹

Step-2: Prime Factorization of 30581

Prime factors of 30581 are 53, 577. Prime factorization of 30581 in exponential form is:

30581 = 53¹ × 577¹

Step-3: Factors of 30576

List of positive integer factors of 30576 that divides 30576 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 13, 14, 16, 21, 24, 26, 28, 39, 42, 48, 49, 52, 56, 78, 84, 91, 98, 104, 112, 147, 156, 168, 182, 196, 208, 273, 294, 312, 336, 364, 392, 546, 588, 624, 637, 728, 784, 1092, 1176, 1274, 1456, 1911, 2184, 2352, 2548, 3822, 4368, 5096, 7644, 10192, 15288

Step-4: Factors of 30581

List of positive integer factors of 30581 that divides 30576 without a remainder.

1, 53, 577

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30576 and 30581. The biggest common factor number is the GCF number.
So the greatest common factor 30576 and 30581 is 1.

Also check out the Least Common Multiple of 30576 and 30581