What is the Greatest Common Factor of 47072 and 47090?

Greatest common factor (GCF) of 47072 and 47090 is 2.

GCF(47072,47090) = 2

We will now calculate the prime factors of 47072 and 47090, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47072 and 47090.

How to find the GCF of 47072 and 47090?

We will first find the prime factorization of 47072 and 47090. After we will calculate the factors of 47072 and 47090 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 47090

Prime factors of 47090 are 2, 5, 17, 277. Prime factorization of 47090 in exponential form is:

47090 = 2¹ × 5¹ × 17¹ × 277¹

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 47090

List of positive integer factors of 47090 that divides 47072 without a remainder.

1, 2, 5, 10, 17, 34, 85, 170, 277, 554, 1385, 2770, 4709, 9418, 23545

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47072 and 47090. The biggest common factor number is the GCF number.
So the greatest common factor 47072 and 47090 is 2.

Also check out the Least Common Multiple of 47072 and 47090