What is the Greatest Common Factor of 35259 and 35277?

Greatest common factor (GCF) of 35259 and 35277 is 3.

GCF(35259,35277) = 3

We will now calculate the prime factors of 35259 and 35277, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35259 and 35277.

How to find the GCF of 35259 and 35277?

We will first find the prime factorization of 35259 and 35277. After we will calculate the factors of 35259 and 35277 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 35277

Prime factors of 35277 are 3, 11, 1069. Prime factorization of 35277 in exponential form is:

35277 = 3¹ × 11¹ × 1069¹

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 35277

List of positive integer factors of 35277 that divides 35259 without a remainder.

1, 3, 11, 33, 1069, 3207, 11759

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35259 and 35277. The biggest common factor number is the GCF number.
So the greatest common factor 35259 and 35277 is 3.

Also check out the Least Common Multiple of 35259 and 35277