What is the Greatest Common Factor of 47268 and 47272?

Greatest common factor (GCF) of 47268 and 47272 is 4.

GCF(47268,47272) = 4

We will now calculate the prime factors of 47268 and 47272, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47268 and 47272.

How to find the GCF of 47268 and 47272?

We will first find the prime factorization of 47268 and 47272. After we will calculate the factors of 47268 and 47272 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 47272

Prime factors of 47272 are 2, 19, 311. Prime factorization of 47272 in exponential form is:

47272 = 2³ × 19¹ × 311¹

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 47272

List of positive integer factors of 47272 that divides 47268 without a remainder.

1, 2, 4, 8, 19, 38, 76, 152, 311, 622, 1244, 2488, 5909, 11818, 23636

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47268 and 47272. The biggest common factor number is the GCF number.
So the greatest common factor 47268 and 47272 is 4.

Also check out the Least Common Multiple of 47268 and 47272