What is the Greatest Common Factor of 47268 and 47274?

Greatest common factor (GCF) of 47268 and 47274 is 6.

GCF(47268,47274) = 6

We will now calculate the prime factors of 47268 and 47274, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47268 and 47274.

How to find the GCF of 47268 and 47274?

We will first find the prime factorization of 47268 and 47274. After we will calculate the factors of 47268 and 47274 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 47274

Prime factors of 47274 are 2, 3, 7879. Prime factorization of 47274 in exponential form is:

47274 = 2¹ × 3¹ × 7879¹

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 47274

List of positive integer factors of 47274 that divides 47268 without a remainder.

1, 2, 3, 6, 7879, 15758, 23637

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47268 and 47274. The biggest common factor number is the GCF number.
So the greatest common factor 47268 and 47274 is 6.

Also check out the Least Common Multiple of 47268 and 47274