What is the Greatest Common Factor of 47072 and 47080?

Greatest common factor (GCF) of 47072 and 47080 is 8.

GCF(47072,47080) = 8

We will now calculate the prime factors of 47072 and 47080, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47072 and 47080.

How to find the GCF of 47072 and 47080?

We will first find the prime factorization of 47072 and 47080. After we will calculate the factors of 47072 and 47080 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 47080

Prime factors of 47080 are 2, 5, 11, 107. Prime factorization of 47080 in exponential form is:

47080 = 2³ × 5¹ × 11¹ × 107¹

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 47080

List of positive integer factors of 47080 that divides 47072 without a remainder.

1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 107, 110, 214, 220, 428, 440, 535, 856, 1070, 1177, 2140, 2354, 4280, 4708, 5885, 9416, 11770, 23540

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47072 and 47080. The biggest common factor number is the GCF number.
So the greatest common factor 47072 and 47080 is 8.

Also check out the Least Common Multiple of 47072 and 47080