What is the Greatest Common Factor of 35249 and 35264?

Greatest common factor (GCF) of 35249 and 35264 is 1.

GCF(35249,35264) = 1

We will now calculate the prime factors of 35249 and 35264, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35249 and 35264.

How to find the GCF of 35249 and 35264?

We will first find the prime factorization of 35249 and 35264. After we will calculate the factors of 35249 and 35264 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 35264

Prime factors of 35264 are 2, 19, 29. Prime factorization of 35264 in exponential form is:

35264 = 2⁶ × 19¹ × 29¹

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 35264

List of positive integer factors of 35264 that divides 35249 without a remainder.

1, 2, 4, 8, 16, 19, 29, 32, 38, 58, 64, 76, 116, 152, 232, 304, 464, 551, 608, 928, 1102, 1216, 1856, 2204, 4408, 8816, 17632

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35249 and 35264. The biggest common factor number is the GCF number.
So the greatest common factor 35249 and 35264 is 1.

Also check out the Least Common Multiple of 35249 and 35264