What is the Greatest Common Factor of 47491 and 47509?

Greatest common factor (GCF) of 47491 and 47509 is 1.

GCF(47491,47509) = 1

We will now calculate the prime factors of 47491 and 47509, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47491 and 47509.

How to find the GCF of 47491 and 47509?

We will first find the prime factorization of 47491 and 47509. After we will calculate the factors of 47491 and 47509 and find the biggest common factor number .

Step-1: Prime Factorization of 47491

Prime factors of 47491 are 47491. Prime factorization of 47491 in exponential form is:

47491 = 47491¹

Step-2: Prime Factorization of 47509

Prime factors of 47509 are 7, 11, 617. Prime factorization of 47509 in exponential form is:

47509 = 7¹ × 11¹ × 617¹

Step-3: Factors of 47491

List of positive integer factors of 47491 that divides 47491 without a remainder.

Step-4: Factors of 47509

List of positive integer factors of 47509 that divides 47491 without a remainder.

1, 7, 11, 77, 617, 4319, 6787

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47491 and 47509. The biggest common factor number is the GCF number.
So the greatest common factor 47491 and 47509 is 1.

Also check out the Least Common Multiple of 47491 and 47509