What is the Greatest Common Factor of 47066 and 47072?

Greatest common factor (GCF) of 47066 and 47072 is 2.

GCF(47066,47072) = 2

We will now calculate the prime factors of 47066 and 47072, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47066 and 47072.

How to find the GCF of 47066 and 47072?

We will first find the prime factorization of 47066 and 47072. After we will calculate the factors of 47066 and 47072 and find the biggest common factor number .

Step-1: Prime Factorization of 47066

Prime factors of 47066 are 2, 101, 233. Prime factorization of 47066 in exponential form is:

47066 = 2¹ × 101¹ × 233¹

Step-2: Prime Factorization of 47072

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

47072 = 2⁵ × 1471¹

Step-3: Factors of 47066

List of positive integer factors of 47066 that divides 47066 without a remainder.

1, 2, 101, 202, 233, 466, 23533

Step-4: Factors of 47072

List of positive integer factors of 47072 that divides 47066 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47066 and 47072. The biggest common factor number is the GCF number.
So the greatest common factor 47066 and 47072 is 2.

Also check out the Least Common Multiple of 47066 and 47072