What is the Greatest Common Factor of 47000 and 47020?

Greatest common factor (GCF) of 47000 and 47020 is 20.

GCF(47000,47020) = 20

We will now calculate the prime factors of 47000 and 47020, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47000 and 47020.

How to find the GCF of 47000 and 47020?

We will first find the prime factorization of 47000 and 47020. After we will calculate the factors of 47000 and 47020 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 47020

Prime factors of 47020 are 2, 5, 2351. Prime factorization of 47020 in exponential form is:

47020 = 2² × 5¹ × 2351¹

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 47020

List of positive integer factors of 47020 that divides 47000 without a remainder.

1, 2, 4, 5, 10, 20, 2351, 4702, 9404, 11755, 23510

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47000 and 47020. The biggest common factor number is the GCF number.
So the greatest common factor 47000 and 47020 is 20.

Also check out the Least Common Multiple of 47000 and 47020