What is the Greatest Common Factor of 47748 and 47764?

Greatest common factor (GCF) of 47748 and 47764 is 4.

GCF(47748,47764) = 4

We will now calculate the prime factors of 47748 and 47764, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47748 and 47764.

How to find the GCF of 47748 and 47764?

We will first find the prime factorization of 47748 and 47764. After we will calculate the factors of 47748 and 47764 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 47764

Prime factors of 47764 are 2, 11941. Prime factorization of 47764 in exponential form is:

47764 = 2² × 11941¹

Step-3: Factors of 47748

List of positive integer factors of 47748 that divides 47748 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

Step-4: Factors of 47764

List of positive integer factors of 47764 that divides 47748 without a remainder.

1, 2, 4, 11941, 23882

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47748 and 47764. The biggest common factor number is the GCF number.
So the greatest common factor 47748 and 47764 is 4.

Also check out the Least Common Multiple of 47748 and 47764