What is the Greatest Common Factor of 47386 and 47399?

Greatest common factor (GCF) of 47386 and 47399 is 1.

GCF(47386,47399) = 1

We will now calculate the prime factors of 47386 and 47399, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47386 and 47399.

How to find the GCF of 47386 and 47399?

We will first find the prime factorization of 47386 and 47399. After we will calculate the factors of 47386 and 47399 and find the biggest common factor number .

Step-1: Prime Factorization of 47386

Prime factors of 47386 are 2, 19, 29, 43. Prime factorization of 47386 in exponential form is:

47386 = 2¹ × 19¹ × 29¹ × 43¹

Step-2: Prime Factorization of 47399

Prime factors of 47399 are 11, 31, 139. Prime factorization of 47399 in exponential form is:

47399 = 11¹ × 31¹ × 139¹

Step-3: Factors of 47386

List of positive integer factors of 47386 that divides 47386 without a remainder.

1, 2, 19, 29, 38, 43, 58, 86, 551, 817, 1102, 1247, 1634, 2494, 23693

Step-4: Factors of 47399

List of positive integer factors of 47399 that divides 47386 without a remainder.

1, 11, 31, 139, 341, 1529, 4309

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47386 and 47399. The biggest common factor number is the GCF number.
So the greatest common factor 47386 and 47399 is 1.

Also check out the Least Common Multiple of 47386 and 47399