What is the Greatest Common Factor of 43530 and 43536?

Greatest common factor (GCF) of 43530 and 43536 is 6.

GCF(43530,43536) = 6

We will now calculate the prime factors of 43530 and 43536, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43530 and 43536.

How to find the GCF of 43530 and 43536?

We will first find the prime factorization of 43530 and 43536. After we will calculate the factors of 43530 and 43536 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 43536

Prime factors of 43536 are 2, 3, 907. Prime factorization of 43536 in exponential form is:

43536 = 2⁴ × 3¹ × 907¹

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 43536

List of positive integer factors of 43536 that divides 43530 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 907, 1814, 2721, 3628, 5442, 7256, 10884, 14512, 21768

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43530 and 43536. The biggest common factor number is the GCF number.
So the greatest common factor 43530 and 43536 is 6.

Also check out the Least Common Multiple of 43530 and 43536