What is the Greatest Common Factor of 43530 and 43548?

Greatest common factor (GCF) of 43530 and 43548 is 6.

GCF(43530,43548) = 6

We will now calculate the prime factors of 43530 and 43548, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43530 and 43548.

How to find the GCF of 43530 and 43548?

We will first find the prime factorization of 43530 and 43548. After we will calculate the factors of 43530 and 43548 and find the biggest common factor number .

Step-1: Prime Factorization of 43530

Prime factors of 43530 are 2, 3, 5, 1451. Prime factorization of 43530 in exponential form is:

43530 = 2¹ × 3¹ × 5¹ × 1451¹

Step-2: Prime Factorization of 43548

Prime factors of 43548 are 2, 3, 19, 191. Prime factorization of 43548 in exponential form is:

43548 = 2² × 3¹ × 19¹ × 191¹

Step-3: Factors of 43530

List of positive integer factors of 43530 that divides 43530 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 1451, 2902, 4353, 7255, 8706, 14510, 21765

Step-4: Factors of 43548

List of positive integer factors of 43548 that divides 43530 without a remainder.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 191, 228, 382, 573, 764, 1146, 2292, 3629, 7258, 10887, 14516, 21774

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43530 and 43548. The biggest common factor number is the GCF number.
So the greatest common factor 43530 and 43548 is 6.

Also check out the Least Common Multiple of 43530 and 43548