What is the Greatest Common Factor of 47552 and 47563?

Greatest common factor (GCF) of 47552 and 47563 is 1.

GCF(47552,47563) = 1

We will now calculate the prime factors of 47552 and 47563, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47552 and 47563.

How to find the GCF of 47552 and 47563?

We will first find the prime factorization of 47552 and 47563. After we will calculate the factors of 47552 and 47563 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 47563

Prime factors of 47563 are 47563. Prime factorization of 47563 in exponential form is:

47563 = 47563¹

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 47563

List of positive integer factors of 47563 that divides 47552 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47552 and 47563. The biggest common factor number is the GCF number.
So the greatest common factor 47552 and 47563 is 1.

Also check out the Least Common Multiple of 47552 and 47563