What is the Greatest Common Factor of 47360 and 47370?

Greatest common factor (GCF) of 47360 and 47370 is 10.

GCF(47360,47370) = 10

We will now calculate the prime factors of 47360 and 47370, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47360 and 47370.

How to find the GCF of 47360 and 47370?

We will first find the prime factorization of 47360 and 47370. After we will calculate the factors of 47360 and 47370 and find the biggest common factor number .

Step-1: Prime Factorization of 47360

Prime factors of 47360 are 2, 5, 37. Prime factorization of 47360 in exponential form is:

47360 = 2⁸ × 5¹ × 37¹

Step-2: Prime Factorization of 47370

Prime factors of 47370 are 2, 3, 5, 1579. Prime factorization of 47370 in exponential form is:

47370 = 2¹ × 3¹ × 5¹ × 1579¹

Step-3: Factors of 47360

List of positive integer factors of 47360 that divides 47360 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 37, 40, 64, 74, 80, 128, 148, 160, 185, 256, 296, 320, 370, 592, 640, 740, 1184, 1280, 1480, 2368, 2960, 4736, 5920, 9472, 11840, 23680

Step-4: Factors of 47370

List of positive integer factors of 47370 that divides 47360 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 1579, 3158, 4737, 7895, 9474, 15790, 23685

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47360 and 47370. The biggest common factor number is the GCF number.
So the greatest common factor 47360 and 47370 is 10.

Also check out the Least Common Multiple of 47360 and 47370