What is the Greatest Common Factor of 47552 and 47568?

Greatest common factor (GCF) of 47552 and 47568 is 16.

GCF(47552,47568) = 16

We will now calculate the prime factors of 47552 and 47568, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47552 and 47568.

How to find the GCF of 47552 and 47568?

We will first find the prime factorization of 47552 and 47568. After we will calculate the factors of 47552 and 47568 and find the biggest common factor number .

Step-1: Prime Factorization of 47552

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

47552 = 2⁶ × 743¹

Step-2: Prime Factorization of 47568

Prime factors of 47568 are 2, 3, 991. Prime factorization of 47568 in exponential form is:

47568 = 2⁴ × 3¹ × 991¹

Step-3: Factors of 47552

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

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

Step-4: Factors of 47568

List of positive integer factors of 47568 that divides 47552 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 991, 1982, 2973, 3964, 5946, 7928, 11892, 15856, 23784

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47552 and 47568. The biggest common factor number is the GCF number.
So the greatest common factor 47552 and 47568 is 16.

Also check out the Least Common Multiple of 47552 and 47568