What is the Greatest Common Factor of 47400 and 47415?

Greatest common factor (GCF) of 47400 and 47415 is 15.

GCF(47400,47415) = 15

We will now calculate the prime factors of 47400 and 47415, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47400 and 47415.

How to find the GCF of 47400 and 47415?

We will first find the prime factorization of 47400 and 47415. After we will calculate the factors of 47400 and 47415 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 47415

Prime factors of 47415 are 3, 5, 29, 109. Prime factorization of 47415 in exponential form is:

47415 = 3¹ × 5¹ × 29¹ × 109¹

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 47415

List of positive integer factors of 47415 that divides 47400 without a remainder.

1, 3, 5, 15, 29, 87, 109, 145, 327, 435, 545, 1635, 3161, 9483, 15805

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47400 and 47415. The biggest common factor number is the GCF number.
So the greatest common factor 47400 and 47415 is 15.

Also check out the Least Common Multiple of 47400 and 47415