What is the Greatest Common Factor of 47274 and 47288?

Greatest common factor (GCF) of 47274 and 47288 is 2.

GCF(47274,47288) = 2

We will now calculate the prime factors of 47274 and 47288, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47274 and 47288.

How to find the GCF of 47274 and 47288?

We will first find the prime factorization of 47274 and 47288. After we will calculate the factors of 47274 and 47288 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 47288

Prime factors of 47288 are 2, 23, 257. Prime factorization of 47288 in exponential form is:

47288 = 2³ × 23¹ × 257¹

Step-3: Factors of 47274

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

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

Step-4: Factors of 47288

List of positive integer factors of 47288 that divides 47274 without a remainder.

1, 2, 4, 8, 23, 46, 92, 184, 257, 514, 1028, 2056, 5911, 11822, 23644

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47274 and 47288. The biggest common factor number is the GCF number.
So the greatest common factor 47274 and 47288 is 2.

Also check out the Least Common Multiple of 47274 and 47288