What is the Greatest Common Factor of 47251 and 47268?

Greatest common factor (GCF) of 47251 and 47268 is 1.

GCF(47251,47268) = 1

We will now calculate the prime factors of 47251 and 47268, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47251 and 47268.

How to find the GCF of 47251 and 47268?

We will first find the prime factorization of 47251 and 47268. After we will calculate the factors of 47251 and 47268 and find the biggest common factor number .

Step-1: Prime Factorization of 47251

Prime factors of 47251 are 47251. Prime factorization of 47251 in exponential form is:

47251 = 47251¹

Step-2: 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-3: Factors of 47251

List of positive integer factors of 47251 that divides 47251 without a remainder.

Step-4: Factors of 47268

List of positive integer factors of 47268 that divides 47251 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47251 and 47268. The biggest common factor number is the GCF number.
So the greatest common factor 47251 and 47268 is 1.

Also check out the Least Common Multiple of 47251 and 47268