What is the Greatest Common Factor of 47536 and 47552?

Greatest common factor (GCF) of 47536 and 47552 is 16.

GCF(47536,47552) = 16

We will now calculate the prime factors of 47536 and 47552, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47536 and 47552.

How to find the GCF of 47536 and 47552?

We will first find the prime factorization of 47536 and 47552. After we will calculate the factors of 47536 and 47552 and find the biggest common factor number .

Step-1: Prime Factorization of 47536

Prime factors of 47536 are 2, 2971. Prime factorization of 47536 in exponential form is:

47536 = 2⁴ × 2971¹

Step-2: Prime Factorization of 47552

Prime factors of 47552 are 2, 743. Prime factorization of 47552 in exponential form is:

47552 = 2⁶ × 743¹

Step-3: Factors of 47536

List of positive integer factors of 47536 that divides 47536 without a remainder.

1, 2, 4, 8, 16, 2971, 5942, 11884, 23768

Step-4: Factors of 47552

List of positive integer factors of 47552 that divides 47536 without a remainder.

1, 2, 4, 8, 16, 32, 64, 743, 1486, 2972, 5944, 11888, 23776

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47536 and 47552. The biggest common factor number is the GCF number.
So the greatest common factor 47536 and 47552 is 16.

Also check out the Least Common Multiple of 47536 and 47552