What is the Greatest Common Factor of 47344 and 47356?

Greatest common factor (GCF) of 47344 and 47356 is 4.

GCF(47344,47356) = 4

We will now calculate the prime factors of 47344 and 47356, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47344 and 47356.

How to find the GCF of 47344 and 47356?

We will first find the prime factorization of 47344 and 47356. After we will calculate the factors of 47344 and 47356 and find the biggest common factor number .

Step-1: Prime Factorization of 47344

Prime factors of 47344 are 2, 11, 269. Prime factorization of 47344 in exponential form is:

47344 = 2⁴ × 11¹ × 269¹

Step-2: Prime Factorization of 47356

Prime factors of 47356 are 2, 11839. Prime factorization of 47356 in exponential form is:

47356 = 2² × 11839¹

Step-3: Factors of 47344

List of positive integer factors of 47344 that divides 47344 without a remainder.

1, 2, 4, 8, 11, 16, 22, 44, 88, 176, 269, 538, 1076, 2152, 2959, 4304, 5918, 11836, 23672

Step-4: Factors of 47356

List of positive integer factors of 47356 that divides 47344 without a remainder.

1, 2, 4, 11839, 23678

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47344 and 47356. The biggest common factor number is the GCF number.
So the greatest common factor 47344 and 47356 is 4.

Also check out the Least Common Multiple of 47344 and 47356