What is the Greatest Common Factor of 47000 and 47006?

Greatest common factor (GCF) of 47000 and 47006 is 2.

GCF(47000,47006) = 2

We will now calculate the prime factors of 47000 and 47006, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47000 and 47006.

How to find the GCF of 47000 and 47006?

We will first find the prime factorization of 47000 and 47006. After we will calculate the factors of 47000 and 47006 and find the biggest common factor number .

Step-1: Prime Factorization of 47000

Prime factors of 47000 are 2, 5, 47. Prime factorization of 47000 in exponential form is:

47000 = 2³ × 5³ × 47¹

Step-2: Prime Factorization of 47006

Prime factors of 47006 are 2, 19, 1237. Prime factorization of 47006 in exponential form is:

47006 = 2¹ × 19¹ × 1237¹

Step-3: Factors of 47000

List of positive integer factors of 47000 that divides 47000 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 47, 50, 94, 100, 125, 188, 200, 235, 250, 376, 470, 500, 940, 1000, 1175, 1880, 2350, 4700, 5875, 9400, 11750, 23500

Step-4: Factors of 47006

List of positive integer factors of 47006 that divides 47000 without a remainder.

1, 2, 19, 38, 1237, 2474, 23503

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47000 and 47006. The biggest common factor number is the GCF number.
So the greatest common factor 47000 and 47006 is 2.

Also check out the Least Common Multiple of 47000 and 47006