What is the Greatest Common Factor of 47396 and 47414?

Greatest common factor (GCF) of 47396 and 47414 is 2.

GCF(47396,47414) = 2

We will now calculate the prime factors of 47396 and 47414, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47396 and 47414.

How to find the GCF of 47396 and 47414?

We will first find the prime factorization of 47396 and 47414. After we will calculate the factors of 47396 and 47414 and find the biggest common factor number .

Step-1: Prime Factorization of 47396

Prime factors of 47396 are 2, 17, 41. Prime factorization of 47396 in exponential form is:

47396 = 2² × 17² × 41¹

Step-2: Prime Factorization of 47414

Prime factors of 47414 are 2, 151, 157. Prime factorization of 47414 in exponential form is:

47414 = 2¹ × 151¹ × 157¹

Step-3: Factors of 47396

List of positive integer factors of 47396 that divides 47396 without a remainder.

1, 2, 4, 17, 34, 41, 68, 82, 164, 289, 578, 697, 1156, 1394, 2788, 11849, 23698

Step-4: Factors of 47414

List of positive integer factors of 47414 that divides 47396 without a remainder.

1, 2, 151, 157, 302, 314, 23707

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47396 and 47414. The biggest common factor number is the GCF number.
So the greatest common factor 47396 and 47414 is 2.

Also check out the Least Common Multiple of 47396 and 47414