What is the Greatest Common Factor of 47072 and 47086?

Greatest common factor (GCF) of 47072 and 47086 is 2.

GCF(47072,47086) = 2

We will now calculate the prime factors of 47072 and 47086, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47072 and 47086.

How to find the GCF of 47072 and 47086?

We will first find the prime factorization of 47072 and 47086. After we will calculate the factors of 47072 and 47086 and find the biggest common factor number .

Step-1: Prime Factorization of 47072

Prime factors of 47072 are 2, 1471. Prime factorization of 47072 in exponential form is:

47072 = 2⁵ × 1471¹

Step-2: Prime Factorization of 47086

Prime factors of 47086 are 2, 13, 1811. Prime factorization of 47086 in exponential form is:

47086 = 2¹ × 13¹ × 1811¹

Step-3: Factors of 47072

List of positive integer factors of 47072 that divides 47072 without a remainder.

1, 2, 4, 8, 16, 32, 1471, 2942, 5884, 11768, 23536

Step-4: Factors of 47086

List of positive integer factors of 47086 that divides 47072 without a remainder.

1, 2, 13, 26, 1811, 3622, 23543

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47072 and 47086. The biggest common factor number is the GCF number.
So the greatest common factor 47072 and 47086 is 2.

Also check out the Least Common Multiple of 47072 and 47086