What is the Greatest Common Factor of 47400 and 47417?

Greatest common factor (GCF) of 47400 and 47417 is 1.

GCF(47400,47417) = 1

We will now calculate the prime factors of 47400 and 47417, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47400 and 47417.

How to find the GCF of 47400 and 47417?

We will first find the prime factorization of 47400 and 47417. After we will calculate the factors of 47400 and 47417 and find the biggest common factor number .

Step-1: Prime Factorization of 47400

Prime factors of 47400 are 2, 3, 5, 79. Prime factorization of 47400 in exponential form is:

47400 = 2³ × 3¹ × 5² × 79¹

Step-2: Prime Factorization of 47417

Prime factors of 47417 are 47417. Prime factorization of 47417 in exponential form is:

47417 = 47417¹

Step-3: Factors of 47400

List of positive integer factors of 47400 that divides 47400 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 79, 100, 120, 150, 158, 200, 237, 300, 316, 395, 474, 600, 632, 790, 948, 1185, 1580, 1896, 1975, 2370, 3160, 3950, 4740, 5925, 7900, 9480, 11850, 15800, 23700

Step-4: Factors of 47417

List of positive integer factors of 47417 that divides 47400 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47400 and 47417. The biggest common factor number is the GCF number.
So the greatest common factor 47400 and 47417 is 1.

Also check out the Least Common Multiple of 47400 and 47417