What is the Greatest Common Factor of 5066 and 5082?

Greatest common factor (GCF) of 5066 and 5082 is 2.

GCF(5066,5082) = 2

We will now calculate the prime factors of 5066 and 5082, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5066 and 5082.

How to find the GCF of 5066 and 5082?

We will first find the prime factorization of 5066 and 5082. After we will calculate the factors of 5066 and 5082 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 5082

Prime factors of 5082 are 2, 3, 7, 11. Prime factorization of 5082 in exponential form is:

5082 = 2¹ × 3¹ × 7¹ × 11²

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 5082

List of positive integer factors of 5082 that divides 5066 without a remainder.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 121, 154, 231, 242, 363, 462, 726, 847, 1694, 2541

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5066 and 5082. The biggest common factor number is the GCF number.
So the greatest common factor 5066 and 5082 is 2.

Also check out the Least Common Multiple of 5066 and 5082