What is the Greatest Common Factor of 47890 and 47896?

Greatest common factor (GCF) of 47890 and 47896 is 2.

GCF(47890,47896) = 2

We will now calculate the prime factors of 47890 and 47896, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47890 and 47896.

How to find the GCF of 47890 and 47896?

We will first find the prime factorization of 47890 and 47896. After we will calculate the factors of 47890 and 47896 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 47896

Prime factors of 47896 are 2, 5987. Prime factorization of 47896 in exponential form is:

47896 = 2³ × 5987¹

Step-3: Factors of 47890

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

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

Step-4: Factors of 47896

List of positive integer factors of 47896 that divides 47890 without a remainder.

1, 2, 4, 8, 5987, 11974, 23948

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47890 and 47896. The biggest common factor number is the GCF number.
So the greatest common factor 47890 and 47896 is 2.

Also check out the Least Common Multiple of 47890 and 47896