What is the Greatest Common Factor of 47064 and 47072?

Greatest common factor (GCF) of 47064 and 47072 is 8.

GCF(47064,47072) = 8

We will now calculate the prime factors of 47064 and 47072, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47064 and 47072.

How to find the GCF of 47064 and 47072?

We will first find the prime factorization of 47064 and 47072. After we will calculate the factors of 47064 and 47072 and find the biggest common factor number .

Step-1: Prime Factorization of 47064

Prime factors of 47064 are 2, 3, 37, 53. Prime factorization of 47064 in exponential form is:

47064 = 2³ × 3¹ × 37¹ × 53¹

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 47064

List of positive integer factors of 47064 that divides 47064 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 37, 53, 74, 106, 111, 148, 159, 212, 222, 296, 318, 424, 444, 636, 888, 1272, 1961, 3922, 5883, 7844, 11766, 15688, 23532

Step-4: Factors of 47072

List of positive integer factors of 47072 that divides 47064 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 47064 and 47072. The biggest common factor number is the GCF number.
So the greatest common factor 47064 and 47072 is 8.

Also check out the Least Common Multiple of 47064 and 47072