What is the Greatest Common Factor of 47008 and 47024?

Greatest common factor (GCF) of 47008 and 47024 is 16.

GCF(47008,47024) = 16

We will now calculate the prime factors of 47008 and 47024, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47008 and 47024.

How to find the GCF of 47008 and 47024?

We will first find the prime factorization of 47008 and 47024. After we will calculate the factors of 47008 and 47024 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 47024

Prime factors of 47024 are 2, 2939. Prime factorization of 47024 in exponential form is:

47024 = 2⁴ × 2939¹

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 47024

List of positive integer factors of 47024 that divides 47008 without a remainder.

1, 2, 4, 8, 16, 2939, 5878, 11756, 23512

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47008 and 47024. The biggest common factor number is the GCF number.
So the greatest common factor 47008 and 47024 is 16.

Also check out the Least Common Multiple of 47008 and 47024