What is the Greatest Common Factor of 47028 and 47048?

Greatest common factor (GCF) of 47028 and 47048 is 4.

GCF(47028,47048) = 4

We will now calculate the prime factors of 47028 and 47048, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47028 and 47048.

How to find the GCF of 47028 and 47048?

We will first find the prime factorization of 47028 and 47048. After we will calculate the factors of 47028 and 47048 and find the biggest common factor number .

Step-1: Prime Factorization of 47028

Prime factors of 47028 are 2, 3, 3919. Prime factorization of 47028 in exponential form is:

47028 = 2² × 3¹ × 3919¹

Step-2: Prime Factorization of 47048

Prime factors of 47048 are 2, 5881. Prime factorization of 47048 in exponential form is:

47048 = 2³ × 5881¹

Step-3: Factors of 47028

List of positive integer factors of 47028 that divides 47028 without a remainder.

1, 2, 3, 4, 6, 12, 3919, 7838, 11757, 15676, 23514

Step-4: Factors of 47048

List of positive integer factors of 47048 that divides 47028 without a remainder.

1, 2, 4, 8, 5881, 11762, 23524

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47028 and 47048. The biggest common factor number is the GCF number.
So the greatest common factor 47028 and 47048 is 4.

Also check out the Least Common Multiple of 47028 and 47048