What is the Greatest Common Factor of 47099 and 47108?

Greatest common factor (GCF) of 47099 and 47108 is 1.

GCF(47099,47108) = 1

We will now calculate the prime factors of 47099 and 47108, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47099 and 47108.

How to find the GCF of 47099 and 47108?

We will first find the prime factorization of 47099 and 47108. After we will calculate the factors of 47099 and 47108 and find the biggest common factor number .

Step-1: Prime Factorization of 47099

Prime factors of 47099 are 13, 3623. Prime factorization of 47099 in exponential form is:

47099 = 13¹ × 3623¹

Step-2: Prime Factorization of 47108

Prime factors of 47108 are 2, 11777. Prime factorization of 47108 in exponential form is:

47108 = 2² × 11777¹

Step-3: Factors of 47099

List of positive integer factors of 47099 that divides 47099 without a remainder.

1, 13, 3623

Step-4: Factors of 47108

List of positive integer factors of 47108 that divides 47099 without a remainder.

1, 2, 4, 11777, 23554

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47099 and 47108. The biggest common factor number is the GCF number.
So the greatest common factor 47099 and 47108 is 1.

Also check out the Least Common Multiple of 47099 and 47108