What is the Greatest Common Factor of 47253 and 47264?

Greatest common factor (GCF) of 47253 and 47264 is 1.

GCF(47253,47264) = 1

We will now calculate the prime factors of 47253 and 47264, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47253 and 47264.

How to find the GCF of 47253 and 47264?

We will first find the prime factorization of 47253 and 47264. After we will calculate the factors of 47253 and 47264 and find the biggest common factor number .

Step-1: Prime Factorization of 47253

Prime factors of 47253 are 3, 19, 829. Prime factorization of 47253 in exponential form is:

47253 = 3¹ × 19¹ × 829¹

Step-2: Prime Factorization of 47264

Prime factors of 47264 are 2, 7, 211. Prime factorization of 47264 in exponential form is:

47264 = 2⁵ × 7¹ × 211¹

Step-3: Factors of 47253

List of positive integer factors of 47253 that divides 47253 without a remainder.

1, 3, 19, 57, 829, 2487, 15751

Step-4: Factors of 47264

List of positive integer factors of 47264 that divides 47253 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 211, 224, 422, 844, 1477, 1688, 2954, 3376, 5908, 6752, 11816, 23632

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47253 and 47264. The biggest common factor number is the GCF number.
So the greatest common factor 47253 and 47264 is 1.

Also check out the Least Common Multiple of 47253 and 47264