What is the Greatest Common Factor of 47892 and 47905?

Greatest common factor (GCF) of 47892 and 47905 is 13.

GCF(47892,47905) = 13

We will now calculate the prime factors of 47892 and 47905, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47892 and 47905.

How to find the GCF of 47892 and 47905?

We will first find the prime factorization of 47892 and 47905. After we will calculate the factors of 47892 and 47905 and find the biggest common factor number .

Step-1: Prime Factorization of 47892

Prime factors of 47892 are 2, 3, 13, 307. Prime factorization of 47892 in exponential form is:

47892 = 2² × 3¹ × 13¹ × 307¹

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 47892

List of positive integer factors of 47892 that divides 47892 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156, 307, 614, 921, 1228, 1842, 3684, 3991, 7982, 11973, 15964, 23946

Step-4: Factors of 47905

List of positive integer factors of 47905 that divides 47892 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 47892 and 47905. The biggest common factor number is the GCF number.
So the greatest common factor 47892 and 47905 is 13.

Also check out the Least Common Multiple of 47892 and 47905