What is the Greatest Common Factor of 35249 and 35258?

Greatest common factor (GCF) of 35249 and 35258 is 1.

GCF(35249,35258) = 1

We will now calculate the prime factors of 35249 and 35258, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35249 and 35258.

How to find the GCF of 35249 and 35258?

We will first find the prime factorization of 35249 and 35258. After we will calculate the factors of 35249 and 35258 and find the biggest common factor number .

Step-1: Prime Factorization of 35249

Prime factors of 35249 are 101, 349. Prime factorization of 35249 in exponential form is:

35249 = 101¹ × 349¹

Step-2: 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-3: Factors of 35249

List of positive integer factors of 35249 that divides 35249 without a remainder.

1, 101, 349

Step-4: Factors of 35258

List of positive integer factors of 35258 that divides 35249 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35249 and 35258. The biggest common factor number is the GCF number.
So the greatest common factor 35249 and 35258 is 1.

Also check out the Least Common Multiple of 35249 and 35258