What is the Greatest Common Factor of 47271 and 47278?

Greatest common factor (GCF) of 47271 and 47278 is 7.

GCF(47271,47278) = 7

We will now calculate the prime factors of 47271 and 47278, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47271 and 47278.

How to find the GCF of 47271 and 47278?

We will first find the prime factorization of 47271 and 47278. After we will calculate the factors of 47271 and 47278 and find the biggest common factor number .

Step-1: Prime Factorization of 47271

Prime factors of 47271 are 3, 7, 2251. Prime factorization of 47271 in exponential form is:

47271 = 3¹ × 7¹ × 2251¹

Step-2: Prime Factorization of 47278

Prime factors of 47278 are 2, 7, 11, 307. Prime factorization of 47278 in exponential form is:

47278 = 2¹ × 7¹ × 11¹ × 307¹

Step-3: Factors of 47271

List of positive integer factors of 47271 that divides 47271 without a remainder.

1, 3, 7, 21, 2251, 6753, 15757

Step-4: Factors of 47278

List of positive integer factors of 47278 that divides 47271 without a remainder.

1, 2, 7, 11, 14, 22, 77, 154, 307, 614, 2149, 3377, 4298, 6754, 23639

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47271 and 47278. The biggest common factor number is the GCF number.
So the greatest common factor 47271 and 47278 is 7.

Also check out the Least Common Multiple of 47271 and 47278