What is the Greatest Common Factor of 47884 and 47890?

Greatest common factor (GCF) of 47884 and 47890 is 2.

GCF(47884,47890) = 2

We will now calculate the prime factors of 47884 and 47890, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47884 and 47890.

How to find the GCF of 47884 and 47890?

We will first find the prime factorization of 47884 and 47890. After we will calculate the factors of 47884 and 47890 and find the biggest common factor number .

Step-1: Prime Factorization of 47884

Prime factors of 47884 are 2, 11971. Prime factorization of 47884 in exponential form is:

47884 = 2² × 11971¹

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 47884

List of positive integer factors of 47884 that divides 47884 without a remainder.

1, 2, 4, 11971, 23942

Step-4: Factors of 47890

List of positive integer factors of 47890 that divides 47884 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47884 and 47890. The biggest common factor number is the GCF number.
So the greatest common factor 47884 and 47890 is 2.

Also check out the Least Common Multiple of 47884 and 47890