What is the Greatest Common Factor of 5066 and 5083?

Greatest common factor (GCF) of 5066 and 5083 is 17.

GCF(5066,5083) = 17

We will now calculate the prime factors of 5066 and 5083, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5066 and 5083.

How to find the GCF of 5066 and 5083?

We will first find the prime factorization of 5066 and 5083. After we will calculate the factors of 5066 and 5083 and find the biggest common factor number .

Step-1: Prime Factorization of 5066

Prime factors of 5066 are 2, 17, 149. Prime factorization of 5066 in exponential form is:

5066 = 2¹ × 17¹ × 149¹

Step-2: Prime Factorization of 5083

Prime factors of 5083 are 13, 17, 23. Prime factorization of 5083 in exponential form is:

5083 = 13¹ × 17¹ × 23¹

Step-3: Factors of 5066

List of positive integer factors of 5066 that divides 5066 without a remainder.

1, 2, 17, 34, 149, 298, 2533

Step-4: Factors of 5083

List of positive integer factors of 5083 that divides 5066 without a remainder.

1, 13, 17, 23, 221, 299, 391

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5066 and 5083. The biggest common factor number is the GCF number.
So the greatest common factor 5066 and 5083 is 17.

Also check out the Least Common Multiple of 5066 and 5083