What is the Greatest Common Factor of 47336 and 47352?

Greatest common factor (GCF) of 47336 and 47352 is 8.

GCF(47336,47352) = 8

We will now calculate the prime factors of 47336 and 47352, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47336 and 47352.

How to find the GCF of 47336 and 47352?

We will first find the prime factorization of 47336 and 47352. After we will calculate the factors of 47336 and 47352 and find the biggest common factor number .

Step-1: Prime Factorization of 47336

Prime factors of 47336 are 2, 61, 97. Prime factorization of 47336 in exponential form is:

47336 = 2³ × 61¹ × 97¹

Step-2: Prime Factorization of 47352

Prime factors of 47352 are 2, 3, 1973. Prime factorization of 47352 in exponential form is:

47352 = 2³ × 3¹ × 1973¹

Step-3: Factors of 47336

List of positive integer factors of 47336 that divides 47336 without a remainder.

1, 2, 4, 8, 61, 97, 122, 194, 244, 388, 488, 776, 5917, 11834, 23668

Step-4: Factors of 47352

List of positive integer factors of 47352 that divides 47336 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 1973, 3946, 5919, 7892, 11838, 15784, 23676

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47336 and 47352. The biggest common factor number is the GCF number.
So the greatest common factor 47336 and 47352 is 8.

Also check out the Least Common Multiple of 47336 and 47352