What is the Greatest Common Factor of 35259 and 35266?

Greatest common factor (GCF) of 35259 and 35266 is 7.

GCF(35259,35266) = 7

We will now calculate the prime factors of 35259 and 35266, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35259 and 35266.

How to find the GCF of 35259 and 35266?

We will first find the prime factorization of 35259 and 35266. After we will calculate the factors of 35259 and 35266 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 35266

Prime factors of 35266 are 2, 7, 11, 229. Prime factorization of 35266 in exponential form is:

35266 = 2¹ × 7¹ × 11¹ × 229¹

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 35266

List of positive integer factors of 35266 that divides 35259 without a remainder.

1, 2, 7, 11, 14, 22, 77, 154, 229, 458, 1603, 2519, 3206, 5038, 17633

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35259 and 35266. The biggest common factor number is the GCF number.
So the greatest common factor 35259 and 35266 is 7.

Also check out the Least Common Multiple of 35259 and 35266