What is the Greatest Common Factor of 5089 and 5096?

Greatest common factor (GCF) of 5089 and 5096 is 7.

GCF(5089,5096) = 7

We will now calculate the prime factors of 5089 and 5096, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5089 and 5096.

How to find the GCF of 5089 and 5096?

We will first find the prime factorization of 5089 and 5096. After we will calculate the factors of 5089 and 5096 and find the biggest common factor number .

Step-1: Prime Factorization of 5089

Prime factors of 5089 are 7, 727. Prime factorization of 5089 in exponential form is:

5089 = 7¹ × 727¹

Step-2: Prime Factorization of 5096

Prime factors of 5096 are 2, 7, 13. Prime factorization of 5096 in exponential form is:

5096 = 2³ × 7² × 13¹

Step-3: Factors of 5089

List of positive integer factors of 5089 that divides 5089 without a remainder.

1, 7, 727

Step-4: Factors of 5096

List of positive integer factors of 5096 that divides 5089 without a remainder.

1, 2, 4, 7, 8, 13, 14, 26, 28, 49, 52, 56, 91, 98, 104, 182, 196, 364, 392, 637, 728, 1274, 2548

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5089 and 5096. The biggest common factor number is the GCF number.
So the greatest common factor 5089 and 5096 is 7.

Also check out the Least Common Multiple of 5089 and 5096