What is the Greatest Common Factor of 43512 and 43530?

Greatest common factor (GCF) of 43512 and 43530 is 6.

GCF(43512,43530) = 6

We will now calculate the prime factors of 43512 and 43530, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43512 and 43530.

How to find the GCF of 43512 and 43530?

We will first find the prime factorization of 43512 and 43530. After we will calculate the factors of 43512 and 43530 and find the biggest common factor number .

Step-1: Prime Factorization of 43512

Prime factors of 43512 are 2, 3, 7, 37. Prime factorization of 43512 in exponential form is:

43512 = 2³ × 3¹ × 7² × 37¹

Step-2: 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-3: Factors of 43512

List of positive integer factors of 43512 that divides 43512 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 37, 42, 49, 56, 74, 84, 98, 111, 147, 148, 168, 196, 222, 259, 294, 296, 392, 444, 518, 588, 777, 888, 1036, 1176, 1554, 1813, 2072, 3108, 3626, 5439, 6216, 7252, 10878, 14504, 21756

Step-4: Factors of 43530

List of positive integer factors of 43530 that divides 43512 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43512 and 43530. The biggest common factor number is the GCF number.
So the greatest common factor 43512 and 43530 is 6.

Also check out the Least Common Multiple of 43512 and 43530