What is the Greatest Common Factor of 47008 and 47028?

Greatest common factor (GCF) of 47008 and 47028 is 4.

GCF(47008,47028) = 4

We will now calculate the prime factors of 47008 and 47028, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47008 and 47028.

How to find the GCF of 47008 and 47028?

We will first find the prime factorization of 47008 and 47028. After we will calculate the factors of 47008 and 47028 and find the biggest common factor number .

Step-1: Prime Factorization of 47008

Prime factors of 47008 are 2, 13, 113. Prime factorization of 47008 in exponential form is:

47008 = 2⁵ × 13¹ × 113¹

Step-2: 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-3: Factors of 47008

List of positive integer factors of 47008 that divides 47008 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 113, 208, 226, 416, 452, 904, 1469, 1808, 2938, 3616, 5876, 11752, 23504

Step-4: Factors of 47028

List of positive integer factors of 47028 that divides 47008 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47008 and 47028. The biggest common factor number is the GCF number.
So the greatest common factor 47008 and 47028 is 4.

Also check out the Least Common Multiple of 47008 and 47028