What is the Greatest Common Factor of 47000 and 47005?

Greatest common factor (GCF) of 47000 and 47005 is 5.

GCF(47000,47005) = 5

We will now calculate the prime factors of 47000 and 47005, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47000 and 47005.

How to find the GCF of 47000 and 47005?

We will first find the prime factorization of 47000 and 47005. After we will calculate the factors of 47000 and 47005 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 47005

Prime factors of 47005 are 5, 7, 17, 79. Prime factorization of 47005 in exponential form is:

47005 = 5¹ × 7¹ × 17¹ × 79¹

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 47005

List of positive integer factors of 47005 that divides 47000 without a remainder.

1, 5, 7, 17, 35, 79, 85, 119, 395, 553, 595, 1343, 2765, 6715, 9401

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47000 and 47005. The biggest common factor number is the GCF number.
So the greatest common factor 47000 and 47005 is 5.

Also check out the Least Common Multiple of 47000 and 47005