What is the Greatest Common Factor of 47748 and 47752?

Greatest common factor (GCF) of 47748 and 47752 is 4.

GCF(47748,47752) = 4

We will now calculate the prime factors of 47748 and 47752, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47748 and 47752.

How to find the GCF of 47748 and 47752?

We will first find the prime factorization of 47748 and 47752. After we will calculate the factors of 47748 and 47752 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 47752

Prime factors of 47752 are 2, 47, 127. Prime factorization of 47752 in exponential form is:

47752 = 2³ × 47¹ × 127¹

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 47752

List of positive integer factors of 47752 that divides 47748 without a remainder.

1, 2, 4, 8, 47, 94, 127, 188, 254, 376, 508, 1016, 5969, 11938, 23876

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47748 and 47752. The biggest common factor number is the GCF number.
So the greatest common factor 47748 and 47752 is 4.

Also check out the Least Common Multiple of 47748 and 47752