What is the Greatest Common Factor of 5041 and 5046?

Greatest common factor (GCF) of 5041 and 5046 is 1.

GCF(5041,5046) = 1

We will now calculate the prime factors of 5041 and 5046, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5041 and 5046.

How to find the GCF of 5041 and 5046?

We will first find the prime factorization of 5041 and 5046. After we will calculate the factors of 5041 and 5046 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 5046

Prime factors of 5046 are 2, 3, 29. Prime factorization of 5046 in exponential form is:

5046 = 2¹ × 3¹ × 29²

Step-3: Factors of 5041

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

1, 71

Step-4: Factors of 5046

List of positive integer factors of 5046 that divides 5041 without a remainder.

1, 2, 3, 6, 29, 58, 87, 174, 841, 1682, 2523

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5041 and 5046. The biggest common factor number is the GCF number.
So the greatest common factor 5041 and 5046 is 1.

Also check out the Least Common Multiple of 5041 and 5046