What is the Greatest Common Factor of 47259 and 47268?

Greatest common factor (GCF) of 47259 and 47268 is 9.

GCF(47259,47268) = 9

We will now calculate the prime factors of 47259 and 47268, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47259 and 47268.

How to find the GCF of 47259 and 47268?

We will first find the prime factorization of 47259 and 47268. After we will calculate the factors of 47259 and 47268 and find the biggest common factor number .

Step-1: Prime Factorization of 47259

Prime factors of 47259 are 3, 59, 89. Prime factorization of 47259 in exponential form is:

47259 = 3² × 59¹ × 89¹

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 47259

List of positive integer factors of 47259 that divides 47259 without a remainder.

1, 3, 9, 59, 89, 177, 267, 531, 801, 5251, 15753

Step-4: Factors of 47268

List of positive integer factors of 47268 that divides 47259 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 47259 and 47268. The biggest common factor number is the GCF number.
So the greatest common factor 47259 and 47268 is 9.

Also check out the Least Common Multiple of 47259 and 47268