What is the Greatest Common Factor of 30528 and 30546?

Greatest common factor (GCF) of 30528 and 30546 is 18.

GCF(30528,30546) = 18

We will now calculate the prime factors of 30528 and 30546, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30528 and 30546.

How to find the GCF of 30528 and 30546?

We will first find the prime factorization of 30528 and 30546. After we will calculate the factors of 30528 and 30546 and find the biggest common factor number .

Step-1: Prime Factorization of 30528

Prime factors of 30528 are 2, 3, 53. Prime factorization of 30528 in exponential form is:

30528 = 2⁶ × 3² × 53¹

Step-2: Prime Factorization of 30546

Prime factors of 30546 are 2, 3, 1697. Prime factorization of 30546 in exponential form is:

30546 = 2¹ × 3² × 1697¹

Step-3: Factors of 30528

List of positive integer factors of 30528 that divides 30528 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 53, 64, 72, 96, 106, 144, 159, 192, 212, 288, 318, 424, 477, 576, 636, 848, 954, 1272, 1696, 1908, 2544, 3392, 3816, 5088, 7632, 10176, 15264

Step-4: Factors of 30546

List of positive integer factors of 30546 that divides 30528 without a remainder.

1, 2, 3, 6, 9, 18, 1697, 3394, 5091, 10182, 15273

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30528 and 30546. The biggest common factor number is the GCF number.
So the greatest common factor 30528 and 30546 is 18.

Also check out the Least Common Multiple of 30528 and 30546