What is the Greatest Common Factor of 30552 and 30564?

Greatest common factor (GCF) of 30552 and 30564 is 12.

GCF(30552,30564) = 12

We will now calculate the prime factors of 30552 and 30564, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30552 and 30564.

How to find the GCF of 30552 and 30564?

We will first find the prime factorization of 30552 and 30564. After we will calculate the factors of 30552 and 30564 and find the biggest common factor number .

Step-1: Prime Factorization of 30552

Prime factors of 30552 are 2, 3, 19, 67. Prime factorization of 30552 in exponential form is:

30552 = 2³ × 3¹ × 19¹ × 67¹

Step-2: Prime Factorization of 30564

Prime factors of 30564 are 2, 3, 283. Prime factorization of 30564 in exponential form is:

30564 = 2² × 3³ × 283¹

Step-3: Factors of 30552

List of positive integer factors of 30552 that divides 30552 without a remainder.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 67, 76, 114, 134, 152, 201, 228, 268, 402, 456, 536, 804, 1273, 1608, 2546, 3819, 5092, 7638, 10184, 15276

Step-4: Factors of 30564

List of positive integer factors of 30564 that divides 30552 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 283, 566, 849, 1132, 1698, 2547, 3396, 5094, 7641, 10188, 15282

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30552 and 30564. The biggest common factor number is the GCF number.
So the greatest common factor 30552 and 30564 is 12.

Also check out the Least Common Multiple of 30552 and 30564