What is the Greatest Common Factor of 47268 and 47287?

Greatest common factor (GCF) of 47268 and 47287 is 1.

GCF(47268,47287) = 1

We will now calculate the prime factors of 47268 and 47287, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47268 and 47287.

How to find the GCF of 47268 and 47287?

We will first find the prime factorization of 47268 and 47287. After we will calculate the factors of 47268 and 47287 and find the biggest common factor number .

Step-1: Prime Factorization of 47268

Prime factors of 47268 are 2, 3, 13, 101. Prime factorization of 47268 in exponential form is:

47268 = 2² × 3² × 13¹ × 101¹

Step-2: Prime Factorization of 47287

Prime factors of 47287 are 47287. Prime factorization of 47287 in exponential form is:

47287 = 47287¹

Step-3: Factors of 47268

List of positive integer factors of 47268 that divides 47268 without a remainder.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 101, 117, 156, 202, 234, 303, 404, 468, 606, 909, 1212, 1313, 1818, 2626, 3636, 3939, 5252, 7878, 11817, 15756, 23634

Step-4: Factors of 47287

List of positive integer factors of 47287 that divides 47268 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47268 and 47287. The biggest common factor number is the GCF number.
So the greatest common factor 47268 and 47287 is 1.

Also check out the Least Common Multiple of 47268 and 47287