What is the Greatest Common Factor of 47446 and 47453?

Greatest common factor (GCF) of 47446 and 47453 is 7.

GCF(47446,47453) = 7

We will now calculate the prime factors of 47446 and 47453, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47446 and 47453.

How to find the GCF of 47446 and 47453?

We will first find the prime factorization of 47446 and 47453. After we will calculate the factors of 47446 and 47453 and find the biggest common factor number .

Step-1: Prime Factorization of 47446

Prime factors of 47446 are 2, 7, 3389. Prime factorization of 47446 in exponential form is:

47446 = 2¹ × 7¹ × 3389¹

Step-2: Prime Factorization of 47453

Prime factors of 47453 are 7, 6779. Prime factorization of 47453 in exponential form is:

47453 = 7¹ × 6779¹

Step-3: Factors of 47446

List of positive integer factors of 47446 that divides 47446 without a remainder.

1, 2, 7, 14, 3389, 6778, 23723

Step-4: Factors of 47453

List of positive integer factors of 47453 that divides 47446 without a remainder.

1, 7, 6779

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47446 and 47453. The biggest common factor number is the GCF number.
So the greatest common factor 47446 and 47453 is 7.

Also check out the Least Common Multiple of 47446 and 47453