What is the Greatest Common Factor of 47410 and 47420?

Greatest common factor (GCF) of 47410 and 47420 is 10.

GCF(47410,47420) = 10

We will now calculate the prime factors of 47410 and 47420, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47410 and 47420.

How to find the GCF of 47410 and 47420?

We will first find the prime factorization of 47410 and 47420. After we will calculate the factors of 47410 and 47420 and find the biggest common factor number .

Step-1: Prime Factorization of 47410

Prime factors of 47410 are 2, 5, 11, 431. Prime factorization of 47410 in exponential form is:

47410 = 2¹ × 5¹ × 11¹ × 431¹

Step-2: Prime Factorization of 47420

Prime factors of 47420 are 2, 5, 2371. Prime factorization of 47420 in exponential form is:

47420 = 2² × 5¹ × 2371¹

Step-3: Factors of 47410

List of positive integer factors of 47410 that divides 47410 without a remainder.

1, 2, 5, 10, 11, 22, 55, 110, 431, 862, 2155, 4310, 4741, 9482, 23705

Step-4: Factors of 47420

List of positive integer factors of 47420 that divides 47410 without a remainder.

1, 2, 4, 5, 10, 20, 2371, 4742, 9484, 11855, 23710

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47410 and 47420. The biggest common factor number is the GCF number.
So the greatest common factor 47410 and 47420 is 10.

Also check out the Least Common Multiple of 47410 and 47420