What is the Greatest Common Factor of 32277 and 32284?

Greatest common factor (GCF) of 32277 and 32284 is 7.

GCF(32277,32284) = 7

We will now calculate the prime factors of 32277 and 32284, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32277 and 32284.

How to find the GCF of 32277 and 32284?

We will first find the prime factorization of 32277 and 32284. After we will calculate the factors of 32277 and 32284 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 32284

Prime factors of 32284 are 2, 7, 1153. Prime factorization of 32284 in exponential form is:

32284 = 2² × 7¹ × 1153¹

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 32284

List of positive integer factors of 32284 that divides 32277 without a remainder.

1, 2, 4, 7, 14, 28, 1153, 2306, 4612, 8071, 16142

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32277 and 32284. The biggest common factor number is the GCF number.
So the greatest common factor 32277 and 32284 is 7.

Also check out the Least Common Multiple of 32277 and 32284