What is the Greatest Common Factor of 35249 and 35254?

Greatest common factor (GCF) of 35249 and 35254 is 1.

GCF(35249,35254) = 1

We will now calculate the prime factors of 35249 and 35254, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35249 and 35254.

How to find the GCF of 35249 and 35254?

We will first find the prime factorization of 35249 and 35254. After we will calculate the factors of 35249 and 35254 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 35254

Prime factors of 35254 are 2, 17627. Prime factorization of 35254 in exponential form is:

35254 = 2¹ × 17627¹

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 35254

List of positive integer factors of 35254 that divides 35249 without a remainder.

1, 2, 17627

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35249 and 35254. The biggest common factor number is the GCF number.
So the greatest common factor 35249 and 35254 is 1.

Also check out the Least Common Multiple of 35249 and 35254