What is the Greatest Common Factor of 47084 and 47104?

Greatest common factor (GCF) of 47084 and 47104 is 4.

GCF(47084,47104) = 4

We will now calculate the prime factors of 47084 and 47104, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47084 and 47104.

How to find the GCF of 47084 and 47104?

We will first find the prime factorization of 47084 and 47104. After we will calculate the factors of 47084 and 47104 and find the biggest common factor number .

Step-1: Prime Factorization of 47084

Prime factors of 47084 are 2, 79, 149. Prime factorization of 47084 in exponential form is:

47084 = 2² × 79¹ × 149¹

Step-2: Prime Factorization of 47104

Prime factors of 47104 are 2, 23. Prime factorization of 47104 in exponential form is:

47104 = 2¹¹ × 23¹

Step-3: Factors of 47084

List of positive integer factors of 47084 that divides 47084 without a remainder.

1, 2, 4, 79, 149, 158, 298, 316, 596, 11771, 23542

Step-4: Factors of 47104

List of positive integer factors of 47104 that divides 47084 without a remainder.

1, 2, 4, 8, 16, 23, 32, 46, 64, 92, 128, 184, 256, 368, 512, 736, 1024, 1472, 2048, 2944, 5888, 11776, 23552

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47084 and 47104. The biggest common factor number is the GCF number.
So the greatest common factor 47084 and 47104 is 4.

Also check out the Least Common Multiple of 47084 and 47104