What is the Greatest Common Factor of 47793 and 47803?

Greatest common factor (GCF) of 47793 and 47803 is 1.

GCF(47793,47803) = 1

We will now calculate the prime factors of 47793 and 47803, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47793 and 47803.

How to find the GCF of 47793 and 47803?

We will first find the prime factorization of 47793 and 47803. After we will calculate the factors of 47793 and 47803 and find the biggest common factor number .

Step-1: Prime Factorization of 47793

Prime factors of 47793 are 3, 89, 179. Prime factorization of 47793 in exponential form is:

47793 = 3¹ × 89¹ × 179¹

Step-2: Prime Factorization of 47803

Prime factors of 47803 are 7, 6829. Prime factorization of 47803 in exponential form is:

47803 = 7¹ × 6829¹

Step-3: Factors of 47793

List of positive integer factors of 47793 that divides 47793 without a remainder.

1, 3, 89, 179, 267, 537, 15931

Step-4: Factors of 47803

List of positive integer factors of 47803 that divides 47793 without a remainder.

1, 7, 6829

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47793 and 47803. The biggest common factor number is the GCF number.
So the greatest common factor 47793 and 47803 is 1.

Also check out the Least Common Multiple of 47793 and 47803