What is the Greatest Common Factor of 47268 and 47286?

Greatest common factor (GCF) of 47268 and 47286 is 18.

GCF(47268,47286) = 18

We will now calculate the prime factors of 47268 and 47286, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47268 and 47286.

How to find the GCF of 47268 and 47286?

We will first find the prime factorization of 47268 and 47286. After we will calculate the factors of 47268 and 47286 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 47286

Prime factors of 47286 are 2, 3, 37, 71. Prime factorization of 47286 in exponential form is:

47286 = 2¹ × 3² × 37¹ × 71¹

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 47286

List of positive integer factors of 47286 that divides 47268 without a remainder.

1, 2, 3, 6, 9, 18, 37, 71, 74, 111, 142, 213, 222, 333, 426, 639, 666, 1278, 2627, 5254, 7881, 15762, 23643

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47268 and 47286. The biggest common factor number is the GCF number.
So the greatest common factor 47268 and 47286 is 18.

Also check out the Least Common Multiple of 47268 and 47286