What is the Greatest Common Factor of 47888 and 47892?

Greatest common factor (GCF) of 47888 and 47892 is 4.

GCF(47888,47892) = 4

We will now calculate the prime factors of 47888 and 47892, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47888 and 47892.

How to find the GCF of 47888 and 47892?

We will first find the prime factorization of 47888 and 47892. After we will calculate the factors of 47888 and 47892 and find the biggest common factor number .

Step-1: Prime Factorization of 47888

Prime factors of 47888 are 2, 41, 73. Prime factorization of 47888 in exponential form is:

47888 = 2⁴ × 41¹ × 73¹

Step-2: 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-3: Factors of 47888

List of positive integer factors of 47888 that divides 47888 without a remainder.

1, 2, 4, 8, 16, 41, 73, 82, 146, 164, 292, 328, 584, 656, 1168, 2993, 5986, 11972, 23944

Step-4: Factors of 47892

List of positive integer factors of 47892 that divides 47888 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47888 and 47892. The biggest common factor number is the GCF number.
So the greatest common factor 47888 and 47892 is 4.

Also check out the Least Common Multiple of 47888 and 47892