What is the Greatest Common Factor of 32277 and 32283?

Greatest common factor (GCF) of 32277 and 32283 is 3.

GCF(32277,32283) = 3

We will now calculate the prime factors of 32277 and 32283, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32277 and 32283.

How to find the GCF of 32277 and 32283?

We will first find the prime factorization of 32277 and 32283. After we will calculate the factors of 32277 and 32283 and find the biggest common factor number .

Step-1: Prime Factorization of 32277

Prime factors of 32277 are 3, 7, 29, 53. Prime factorization of 32277 in exponential form is:

32277 = 3¹ × 7¹ × 29¹ × 53¹

Step-2: Prime Factorization of 32283

Prime factors of 32283 are 3, 17, 211. Prime factorization of 32283 in exponential form is:

32283 = 3² × 17¹ × 211¹

Step-3: Factors of 32277

List of positive integer factors of 32277 that divides 32277 without a remainder.

1, 3, 7, 21, 29, 53, 87, 159, 203, 371, 609, 1113, 1537, 4611, 10759

Step-4: Factors of 32283

List of positive integer factors of 32283 that divides 32277 without a remainder.

1, 3, 9, 17, 51, 153, 211, 633, 1899, 3587, 10761

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32277 and 32283. The biggest common factor number is the GCF number.
So the greatest common factor 32277 and 32283 is 3.

Also check out the Least Common Multiple of 32277 and 32283