What is the Greatest Common Factor of 47743 and 47748?

Greatest common factor (GCF) of 47743 and 47748 is 1.

GCF(47743,47748) = 1

We will now calculate the prime factors of 47743 and 47748, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47743 and 47748.

How to find the GCF of 47743 and 47748?

We will first find the prime factorization of 47743 and 47748. After we will calculate the factors of 47743 and 47748 and find the biggest common factor number .

Step-1: Prime Factorization of 47743

Prime factors of 47743 are 47743. Prime factorization of 47743 in exponential form is:

47743 = 47743¹

Step-2: Prime Factorization of 47748

Prime factors of 47748 are 2, 3, 23, 173. Prime factorization of 47748 in exponential form is:

47748 = 2² × 3¹ × 23¹ × 173¹

Step-3: Factors of 47743

List of positive integer factors of 47743 that divides 47743 without a remainder.

Step-4: Factors of 47748

List of positive integer factors of 47748 that divides 47743 without a remainder.

1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 173, 276, 346, 519, 692, 1038, 2076, 3979, 7958, 11937, 15916, 23874

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47743 and 47748. The biggest common factor number is the GCF number.
So the greatest common factor 47743 and 47748 is 1.

Also check out the Least Common Multiple of 47743 and 47748