What is the Greatest Common Factor of 47281 and 47294?

Greatest common factor (GCF) of 47281 and 47294 is 13.

GCF(47281,47294) = 13

We will now calculate the prime factors of 47281 and 47294, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47281 and 47294.

How to find the GCF of 47281 and 47294?

We will first find the prime factorization of 47281 and 47294. After we will calculate the factors of 47281 and 47294 and find the biggest common factor number .

Step-1: Prime Factorization of 47281

Prime factors of 47281 are 13, 3637. Prime factorization of 47281 in exponential form is:

47281 = 13¹ × 3637¹

Step-2: Prime Factorization of 47294

Prime factors of 47294 are 2, 13, 17, 107. Prime factorization of 47294 in exponential form is:

47294 = 2¹ × 13¹ × 17¹ × 107¹

Step-3: Factors of 47281

List of positive integer factors of 47281 that divides 47281 without a remainder.

1, 13, 3637

Step-4: Factors of 47294

List of positive integer factors of 47294 that divides 47281 without a remainder.

1, 2, 13, 17, 26, 34, 107, 214, 221, 442, 1391, 1819, 2782, 3638, 23647

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47281 and 47294. The biggest common factor number is the GCF number.
So the greatest common factor 47281 and 47294 is 13.

Also check out the Least Common Multiple of 47281 and 47294