What is the Greatest Common Factor of 47008 and 47016?

Greatest common factor (GCF) of 47008 and 47016 is 8.

GCF(47008,47016) = 8

We will now calculate the prime factors of 47008 and 47016, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47008 and 47016.

How to find the GCF of 47008 and 47016?

We will first find the prime factorization of 47008 and 47016. After we will calculate the factors of 47008 and 47016 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 47016

Prime factors of 47016 are 2, 3, 653. Prime factorization of 47016 in exponential form is:

47016 = 2³ × 3² × 653¹

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 47016

List of positive integer factors of 47016 that divides 47008 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 653, 1306, 1959, 2612, 3918, 5224, 5877, 7836, 11754, 15672, 23508

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47008 and 47016. The biggest common factor number is the GCF number.
So the greatest common factor 47008 and 47016 is 8.

Also check out the Least Common Multiple of 47008 and 47016