What is the Greatest Common Factor of 30524 and 30544?

Greatest common factor (GCF) of 30524 and 30544 is 4.

GCF(30524,30544) = 4

We will now calculate the prime factors of 30524 and 30544, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30524 and 30544.

How to find the GCF of 30524 and 30544?

We will first find the prime factorization of 30524 and 30544. After we will calculate the factors of 30524 and 30544 and find the biggest common factor number .

Step-1: Prime Factorization of 30524

Prime factors of 30524 are 2, 13, 587. Prime factorization of 30524 in exponential form is:

30524 = 2² × 13¹ × 587¹

Step-2: Prime Factorization of 30544

Prime factors of 30544 are 2, 23, 83. Prime factorization of 30544 in exponential form is:

30544 = 2⁴ × 23¹ × 83¹

Step-3: Factors of 30524

List of positive integer factors of 30524 that divides 30524 without a remainder.

1, 2, 4, 13, 26, 52, 587, 1174, 2348, 7631, 15262

Step-4: Factors of 30544

List of positive integer factors of 30544 that divides 30524 without a remainder.

1, 2, 4, 8, 16, 23, 46, 83, 92, 166, 184, 332, 368, 664, 1328, 1909, 3818, 7636, 15272

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30524 and 30544. The biggest common factor number is the GCF number.
So the greatest common factor 30524 and 30544 is 4.

Also check out the Least Common Multiple of 30524 and 30544