What is the Greatest Common Factor of 5049 and 5066?

Greatest common factor (GCF) of 5049 and 5066 is 17.

GCF(5049,5066) = 17

We will now calculate the prime factors of 5049 and 5066, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5049 and 5066.

How to find the GCF of 5049 and 5066?

We will first find the prime factorization of 5049 and 5066. After we will calculate the factors of 5049 and 5066 and find the biggest common factor number .

Step-1: Prime Factorization of 5049

Prime factors of 5049 are 3, 11, 17. Prime factorization of 5049 in exponential form is:

5049 = 3³ × 11¹ × 17¹

Step-2: 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-3: Factors of 5049

List of positive integer factors of 5049 that divides 5049 without a remainder.

1, 3, 9, 11, 17, 27, 33, 51, 99, 153, 187, 297, 459, 561, 1683

Step-4: Factors of 5066

List of positive integer factors of 5066 that divides 5049 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5049 and 5066. The biggest common factor number is the GCF number.
So the greatest common factor 5049 and 5066 is 17.

Also check out the Least Common Multiple of 5049 and 5066