What is the Greatest Common Factor of 47860 and 47870?

Greatest common factor (GCF) of 47860 and 47870 is 10.

GCF(47860,47870) = 10

We will now calculate the prime factors of 47860 and 47870, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47860 and 47870.

How to find the GCF of 47860 and 47870?

We will first find the prime factorization of 47860 and 47870. After we will calculate the factors of 47860 and 47870 and find the biggest common factor number .

Step-1: Prime Factorization of 47860

Prime factors of 47860 are 2, 5, 2393. Prime factorization of 47860 in exponential form is:

47860 = 2² × 5¹ × 2393¹

Step-2: Prime Factorization of 47870

Prime factors of 47870 are 2, 5, 4787. Prime factorization of 47870 in exponential form is:

47870 = 2¹ × 5¹ × 4787¹

Step-3: Factors of 47860

List of positive integer factors of 47860 that divides 47860 without a remainder.

1, 2, 4, 5, 10, 20, 2393, 4786, 9572, 11965, 23930

Step-4: Factors of 47870

List of positive integer factors of 47870 that divides 47860 without a remainder.

1, 2, 5, 10, 4787, 9574, 23935

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47860 and 47870. The biggest common factor number is the GCF number.
So the greatest common factor 47860 and 47870 is 10.

Also check out the Least Common Multiple of 47860 and 47870