What is the Greatest Common Factor of 47296 and 47301?

Greatest common factor (GCF) of 47296 and 47301 is 1.

GCF(47296,47301) = 1

We will now calculate the prime factors of 47296 and 47301, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47296 and 47301.

How to find the GCF of 47296 and 47301?

We will first find the prime factorization of 47296 and 47301. After we will calculate the factors of 47296 and 47301 and find the biggest common factor number .

Step-1: Prime Factorization of 47296

Prime factors of 47296 are 2, 739. Prime factorization of 47296 in exponential form is:

47296 = 2⁶ × 739¹

Step-2: Prime Factorization of 47301

Prime factors of 47301 are 3, 15767. Prime factorization of 47301 in exponential form is:

47301 = 3¹ × 15767¹

Step-3: Factors of 47296

List of positive integer factors of 47296 that divides 47296 without a remainder.

1, 2, 4, 8, 16, 32, 64, 739, 1478, 2956, 5912, 11824, 23648

Step-4: Factors of 47301

List of positive integer factors of 47301 that divides 47296 without a remainder.

1, 3, 15767

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47296 and 47301. The biggest common factor number is the GCF number.
So the greatest common factor 47296 and 47301 is 1.

Also check out the Least Common Multiple of 47296 and 47301