What is the Greatest Common Factor of 47386 and 47405?

Greatest common factor (GCF) of 47386 and 47405 is 19.

GCF(47386,47405) = 19

We will now calculate the prime factors of 47386 and 47405, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47386 and 47405.

How to find the GCF of 47386 and 47405?

We will first find the prime factorization of 47386 and 47405. After we will calculate the factors of 47386 and 47405 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 47405

Prime factors of 47405 are 5, 19, 499. Prime factorization of 47405 in exponential form is:

47405 = 5¹ × 19¹ × 499¹

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 47405

List of positive integer factors of 47405 that divides 47386 without a remainder.

1, 5, 19, 95, 499, 2495, 9481

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47386 and 47405. The biggest common factor number is the GCF number.
So the greatest common factor 47386 and 47405 is 19.

Also check out the Least Common Multiple of 47386 and 47405