What is the Greatest Common Factor of 47242 and 47255?

Greatest common factor (GCF) of 47242 and 47255 is 13.

GCF(47242,47255) = 13

We will now calculate the prime factors of 47242 and 47255, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47242 and 47255.

How to find the GCF of 47242 and 47255?

We will first find the prime factorization of 47242 and 47255. After we will calculate the factors of 47242 and 47255 and find the biggest common factor number .

Step-1: Prime Factorization of 47242

Prime factors of 47242 are 2, 13, 23, 79. Prime factorization of 47242 in exponential form is:

47242 = 2¹ × 13¹ × 23¹ × 79¹

Step-2: Prime Factorization of 47255

Prime factors of 47255 are 5, 13, 727. Prime factorization of 47255 in exponential form is:

47255 = 5¹ × 13¹ × 727¹

Step-3: Factors of 47242

List of positive integer factors of 47242 that divides 47242 without a remainder.

1, 2, 13, 23, 26, 46, 79, 158, 299, 598, 1027, 1817, 2054, 3634, 23621

Step-4: Factors of 47255

List of positive integer factors of 47255 that divides 47242 without a remainder.

1, 5, 13, 65, 727, 3635, 9451

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47242 and 47255. The biggest common factor number is the GCF number.
So the greatest common factor 47242 and 47255 is 13.

Also check out the Least Common Multiple of 47242 and 47255