What is the Greatest Common Factor of 47710 and 47730?

Greatest common factor (GCF) of 47710 and 47730 is 10.

GCF(47710,47730) = 10

We will now calculate the prime factors of 47710 and 47730, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47710 and 47730.

How to find the GCF of 47710 and 47730?

We will first find the prime factorization of 47710 and 47730. After we will calculate the factors of 47710 and 47730 and find the biggest common factor number .

Step-1: Prime Factorization of 47710

Prime factors of 47710 are 2, 5, 13, 367. Prime factorization of 47710 in exponential form is:

47710 = 2¹ × 5¹ × 13¹ × 367¹

Step-2: Prime Factorization of 47730

Prime factors of 47730 are 2, 3, 5, 37, 43. Prime factorization of 47730 in exponential form is:

47730 = 2¹ × 3¹ × 5¹ × 37¹ × 43¹

Step-3: Factors of 47710

List of positive integer factors of 47710 that divides 47710 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130, 367, 734, 1835, 3670, 4771, 9542, 23855

Step-4: Factors of 47730

List of positive integer factors of 47730 that divides 47710 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 37, 43, 74, 86, 111, 129, 185, 215, 222, 258, 370, 430, 555, 645, 1110, 1290, 1591, 3182, 4773, 7955, 9546, 15910, 23865

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47710 and 47730. The biggest common factor number is the GCF number.
So the greatest common factor 47710 and 47730 is 10.

Also check out the Least Common Multiple of 47710 and 47730