What is the Greatest Common Factor of 47890 and 47905?

Greatest common factor (GCF) of 47890 and 47905 is 5.

GCF(47890,47905) = 5

We will now calculate the prime factors of 47890 and 47905, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47890 and 47905.

How to find the GCF of 47890 and 47905?

We will first find the prime factorization of 47890 and 47905. After we will calculate the factors of 47890 and 47905 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 47905

Prime factors of 47905 are 5, 11, 13, 67. Prime factorization of 47905 in exponential form is:

47905 = 5¹ × 11¹ × 13¹ × 67¹

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 47905

List of positive integer factors of 47905 that divides 47890 without a remainder.

1, 5, 11, 13, 55, 65, 67, 143, 335, 715, 737, 871, 3685, 4355, 9581

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47890 and 47905. The biggest common factor number is the GCF number.
So the greatest common factor 47890 and 47905 is 5.

Also check out the Least Common Multiple of 47890 and 47905