What is the Greatest Common Factor of 35269 and 35277?

Greatest common factor (GCF) of 35269 and 35277 is 1.

GCF(35269,35277) = 1

We will now calculate the prime factors of 35269 and 35277, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35269 and 35277.

How to find the GCF of 35269 and 35277?

We will first find the prime factorization of 35269 and 35277. After we will calculate the factors of 35269 and 35277 and find the biggest common factor number .

Step-1: Prime Factorization of 35269

Prime factors of 35269 are 13, 2713. Prime factorization of 35269 in exponential form is:

35269 = 13¹ × 2713¹

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 35269

List of positive integer factors of 35269 that divides 35269 without a remainder.

1, 13, 2713

Step-4: Factors of 35277

List of positive integer factors of 35277 that divides 35269 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35269 and 35277. The biggest common factor number is the GCF number.
So the greatest common factor 35269 and 35277 is 1.

Also check out the Least Common Multiple of 35269 and 35277