What is the Greatest Common Factor of 5029 and 5035?

Greatest common factor (GCF) of 5029 and 5035 is 1.

GCF(5029,5035) = 1

We will now calculate the prime factors of 5029 and 5035, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5029 and 5035.

How to find the GCF of 5029 and 5035?

We will first find the prime factorization of 5029 and 5035. After we will calculate the factors of 5029 and 5035 and find the biggest common factor number .

Step-1: Prime Factorization of 5029

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

5029 = 47¹ × 107¹

Step-2: Prime Factorization of 5035

Prime factors of 5035 are 5, 19, 53. Prime factorization of 5035 in exponential form is:

5035 = 5¹ × 19¹ × 53¹

Step-3: Factors of 5029

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

1, 47, 107

Step-4: Factors of 5035

List of positive integer factors of 5035 that divides 5029 without a remainder.

1, 5, 19, 53, 95, 265, 1007

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5029 and 5035. The biggest common factor number is the GCF number.
So the greatest common factor 5029 and 5035 is 1.

Also check out the Least Common Multiple of 5029 and 5035