What is the Greatest Common Factor of 47890 and 47900?

Greatest common factor (GCF) of 47890 and 47900 is 10.

GCF(47890,47900) = 10

We will now calculate the prime factors of 47890 and 47900, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47890 and 47900.

How to find the GCF of 47890 and 47900?

We will first find the prime factorization of 47890 and 47900. After we will calculate the factors of 47890 and 47900 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 47900

Prime factors of 47900 are 2, 5, 479. Prime factorization of 47900 in exponential form is:

47900 = 2² × 5² × 479¹

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 47900

List of positive integer factors of 47900 that divides 47890 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 479, 958, 1916, 2395, 4790, 9580, 11975, 23950

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47890 and 47900. The biggest common factor number is the GCF number.
So the greatest common factor 47890 and 47900 is 10.

Also check out the Least Common Multiple of 47890 and 47900