What is the Greatest Common Factor of 47493 and 47497?

Greatest common factor (GCF) of 47493 and 47497 is 1.

GCF(47493,47497) = 1

We will now calculate the prime factors of 47493 and 47497, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47493 and 47497.

How to find the GCF of 47493 and 47497?

We will first find the prime factorization of 47493 and 47497. After we will calculate the factors of 47493 and 47497 and find the biggest common factor number .

Step-1: Prime Factorization of 47493

Prime factors of 47493 are 3, 1759. Prime factorization of 47493 in exponential form is:

47493 = 3³ × 1759¹

Step-2: Prime Factorization of 47497

Prime factors of 47497 are 47497. Prime factorization of 47497 in exponential form is:

47497 = 47497¹

Step-3: Factors of 47493

List of positive integer factors of 47493 that divides 47493 without a remainder.

1, 3, 9, 27, 1759, 5277, 15831

Step-4: Factors of 47497

List of positive integer factors of 47497 that divides 47493 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47493 and 47497. The biggest common factor number is the GCF number.
So the greatest common factor 47493 and 47497 is 1.

Also check out the Least Common Multiple of 47493 and 47497