What is the Greatest Common Factor of 30552 and 30561?

Greatest common factor (GCF) of 30552 and 30561 is 3.

GCF(30552,30561) = 3

We will now calculate the prime factors of 30552 and 30561, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30552 and 30561.

How to find the GCF of 30552 and 30561?

We will first find the prime factorization of 30552 and 30561. After we will calculate the factors of 30552 and 30561 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 30561

Prime factors of 30561 are 3, 61, 167. Prime factorization of 30561 in exponential form is:

30561 = 3¹ × 61¹ × 167¹

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 30561

List of positive integer factors of 30561 that divides 30552 without a remainder.

1, 3, 61, 167, 183, 501, 10187

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30552 and 30561. The biggest common factor number is the GCF number.
So the greatest common factor 30552 and 30561 is 3.

Also check out the Least Common Multiple of 30552 and 30561