What is the Greatest Common Factor of 43260 and 43275?

Greatest common factor (GCF) of 43260 and 43275 is 15.

GCF(43260,43275) = 15

We will now calculate the prime factors of 43260 and 43275, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43260 and 43275.

How to find the GCF of 43260 and 43275?

We will first find the prime factorization of 43260 and 43275. After we will calculate the factors of 43260 and 43275 and find the biggest common factor number .

Step-1: Prime Factorization of 43260

Prime factors of 43260 are 2, 3, 5, 7, 103. Prime factorization of 43260 in exponential form is:

43260 = 2² × 3¹ × 5¹ × 7¹ × 103¹

Step-2: Prime Factorization of 43275

Prime factors of 43275 are 3, 5, 577. Prime factorization of 43275 in exponential form is:

43275 = 3¹ × 5² × 577¹

Step-3: Factors of 43260

List of positive integer factors of 43260 that divides 43260 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 103, 105, 140, 206, 210, 309, 412, 420, 515, 618, 721, 1030, 1236, 1442, 1545, 2060, 2163, 2884, 3090, 3605, 4326, 6180, 7210, 8652, 10815, 14420, 21630

Step-4: Factors of 43275

List of positive integer factors of 43275 that divides 43260 without a remainder.

1, 3, 5, 15, 25, 75, 577, 1731, 2885, 8655, 14425

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43260 and 43275. The biggest common factor number is the GCF number.
So the greatest common factor 43260 and 43275 is 15.

Also check out the Least Common Multiple of 43260 and 43275