What is the Greatest Common Factor of 43245 and 43260?

Greatest common factor (GCF) of 43245 and 43260 is 15.

GCF(43245,43260) = 15

We will now calculate the prime factors of 43245 and 43260, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43245 and 43260.

How to find the GCF of 43245 and 43260?

We will first find the prime factorization of 43245 and 43260. After we will calculate the factors of 43245 and 43260 and find the biggest common factor number .

Step-1: Prime Factorization of 43245

Prime factors of 43245 are 3, 5, 31. Prime factorization of 43245 in exponential form is:

43245 = 3² × 5¹ × 31²

Step-2: 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-3: Factors of 43245

List of positive integer factors of 43245 that divides 43245 without a remainder.

1, 3, 5, 9, 15, 31, 45, 93, 155, 279, 465, 961, 1395, 2883, 4805, 8649, 14415

Step-4: Factors of 43260

List of positive integer factors of 43260 that divides 43245 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43245 and 43260. The biggest common factor number is the GCF number.
So the greatest common factor 43245 and 43260 is 15.

Also check out the Least Common Multiple of 43245 and 43260