What is the Greatest Common Factor of 35259 and 35271?

Greatest common factor (GCF) of 35259 and 35271 is 3.

GCF(35259,35271) = 3

We will now calculate the prime factors of 35259 and 35271, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35259 and 35271.

How to find the GCF of 35259 and 35271?

We will first find the prime factorization of 35259 and 35271. After we will calculate the factors of 35259 and 35271 and find the biggest common factor number .

Step-1: Prime Factorization of 35259

Prime factors of 35259 are 3, 7, 23, 73. Prime factorization of 35259 in exponential form is:

35259 = 3¹ × 7¹ × 23¹ × 73¹

Step-2: Prime Factorization of 35271

Prime factors of 35271 are 3, 3919. Prime factorization of 35271 in exponential form is:

35271 = 3² × 3919¹

Step-3: Factors of 35259

List of positive integer factors of 35259 that divides 35259 without a remainder.

1, 3, 7, 21, 23, 69, 73, 161, 219, 483, 511, 1533, 1679, 5037, 11753

Step-4: Factors of 35271

List of positive integer factors of 35271 that divides 35259 without a remainder.

1, 3, 9, 3919, 11757

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35259 and 35271. The biggest common factor number is the GCF number.
So the greatest common factor 35259 and 35271 is 3.

Also check out the Least Common Multiple of 35259 and 35271