What is the Greatest Common Factor of 47390 and 47400?

Greatest common factor (GCF) of 47390 and 47400 is 10.

GCF(47390,47400) = 10

We will now calculate the prime factors of 47390 and 47400, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47390 and 47400.

How to find the GCF of 47390 and 47400?

We will first find the prime factorization of 47390 and 47400. After we will calculate the factors of 47390 and 47400 and find the biggest common factor number .

Step-1: Prime Factorization of 47390

Prime factors of 47390 are 2, 5, 7, 677. Prime factorization of 47390 in exponential form is:

47390 = 2¹ × 5¹ × 7¹ × 677¹

Step-2: 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-3: Factors of 47390

List of positive integer factors of 47390 that divides 47390 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 677, 1354, 3385, 4739, 6770, 9478, 23695

Step-4: Factors of 47400

List of positive integer factors of 47400 that divides 47390 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47390 and 47400. The biggest common factor number is the GCF number.
So the greatest common factor 47390 and 47400 is 10.

Also check out the Least Common Multiple of 47390 and 47400