What is the Greatest Common Factor of 47870 and 47890?

Greatest common factor (GCF) of 47870 and 47890 is 10.

GCF(47870,47890) = 10

We will now calculate the prime factors of 47870 and 47890, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47870 and 47890.

How to find the GCF of 47870 and 47890?

We will first find the prime factorization of 47870 and 47890. After we will calculate the factors of 47870 and 47890 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 47890

Prime factors of 47890 are 2, 5, 4789. Prime factorization of 47890 in exponential form is:

47890 = 2¹ × 5¹ × 4789¹

Step-3: Factors of 47870

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

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

Step-4: Factors of 47890

List of positive integer factors of 47890 that divides 47870 without a remainder.

1, 2, 5, 10, 4789, 9578, 23945

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47870 and 47890. The biggest common factor number is the GCF number.
So the greatest common factor 47870 and 47890 is 10.

Also check out the Least Common Multiple of 47870 and 47890