What is the Greatest Common Factor of 5013 and 5029?

Greatest common factor (GCF) of 5013 and 5029 is 1.

GCF(5013,5029) = 1

We will now calculate the prime factors of 5013 and 5029, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5013 and 5029.

How to find the GCF of 5013 and 5029?

We will first find the prime factorization of 5013 and 5029. After we will calculate the factors of 5013 and 5029 and find the biggest common factor number .

Step-1: Prime Factorization of 5013

Prime factors of 5013 are 3, 557. Prime factorization of 5013 in exponential form is:

5013 = 3² × 557¹

Step-2: Prime Factorization of 5029

Prime factors of 5029 are 47, 107. Prime factorization of 5029 in exponential form is:

5029 = 47¹ × 107¹

Step-3: Factors of 5013

List of positive integer factors of 5013 that divides 5013 without a remainder.

1, 3, 9, 557, 1671

Step-4: Factors of 5029

List of positive integer factors of 5029 that divides 5013 without a remainder.

1, 47, 107

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5013 and 5029. The biggest common factor number is the GCF number.
So the greatest common factor 5013 and 5029 is 1.

Also check out the Least Common Multiple of 5013 and 5029