What is the Greatest Common Factor of 43260 and 43277?

Greatest common factor (GCF) of 43260 and 43277 is 1.

GCF(43260,43277) = 1

We will now calculate the prime factors of 43260 and 43277, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43260 and 43277.

How to find the GCF of 43260 and 43277?

We will first find the prime factorization of 43260 and 43277. After we will calculate the factors of 43260 and 43277 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 43277

Prime factors of 43277 are 13, 3329. Prime factorization of 43277 in exponential form is:

43277 = 13¹ × 3329¹

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 43277

List of positive integer factors of 43277 that divides 43260 without a remainder.

1, 13, 3329

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43260 and 43277. The biggest common factor number is the GCF number.
So the greatest common factor 43260 and 43277 is 1.

Also check out the Least Common Multiple of 43260 and 43277