What is the Greatest Common Factor of 35258 and 35273?

Greatest common factor (GCF) of 35258 and 35273 is 1.

GCF(35258,35273) = 1

We will now calculate the prime factors of 35258 and 35273, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35258 and 35273.

How to find the GCF of 35258 and 35273?

We will first find the prime factorization of 35258 and 35273. After we will calculate the factors of 35258 and 35273 and find the biggest common factor number .

Step-1: Prime Factorization of 35258

Prime factors of 35258 are 2, 17, 61. Prime factorization of 35258 in exponential form is:

35258 = 2¹ × 17² × 61¹

Step-2: Prime Factorization of 35273

Prime factors of 35273 are 7, 5039. Prime factorization of 35273 in exponential form is:

35273 = 7¹ × 5039¹

Step-3: Factors of 35258

List of positive integer factors of 35258 that divides 35258 without a remainder.

1, 2, 17, 34, 61, 122, 289, 578, 1037, 2074, 17629

Step-4: Factors of 35273

List of positive integer factors of 35273 that divides 35258 without a remainder.

1, 7, 5039

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35258 and 35273. The biggest common factor number is the GCF number.
So the greatest common factor 35258 and 35273 is 1.

Also check out the Least Common Multiple of 35258 and 35273