What is the Greatest Common Factor of 5041 and 5049?

Greatest common factor (GCF) of 5041 and 5049 is 1.

GCF(5041,5049) = 1

We will now calculate the prime factors of 5041 and 5049, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5041 and 5049.

How to find the GCF of 5041 and 5049?

We will first find the prime factorization of 5041 and 5049. After we will calculate the factors of 5041 and 5049 and find the biggest common factor number .

Step-1: Prime Factorization of 5041

Prime factors of 5041 are 71. Prime factorization of 5041 in exponential form is:

5041 = 71²

Step-2: 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-3: Factors of 5041

List of positive integer factors of 5041 that divides 5041 without a remainder.

1, 71

Step-4: Factors of 5049

List of positive integer factors of 5049 that divides 5041 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5041 and 5049. The biggest common factor number is the GCF number.
So the greatest common factor 5041 and 5049 is 1.

Also check out the Least Common Multiple of 5041 and 5049