What is the Greatest Common Factor of 35277 and 35283?

Greatest common factor (GCF) of 35277 and 35283 is 3.

GCF(35277,35283) = 3

We will now calculate the prime factors of 35277 and 35283, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35277 and 35283.

How to find the GCF of 35277 and 35283?

We will first find the prime factorization of 35277 and 35283. After we will calculate the factors of 35277 and 35283 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 35283

Prime factors of 35283 are 3, 19, 619. Prime factorization of 35283 in exponential form is:

35283 = 3¹ × 19¹ × 619¹

Step-3: Factors of 35277

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

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

Step-4: Factors of 35283

List of positive integer factors of 35283 that divides 35277 without a remainder.

1, 3, 19, 57, 619, 1857, 11761

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35277 and 35283. The biggest common factor number is the GCF number.
So the greatest common factor 35277 and 35283 is 3.

Also check out the Least Common Multiple of 35277 and 35283