What is the Greatest Common Factor of 39277 and 39284?

Greatest common factor (GCF) of 39277 and 39284 is 7.

GCF(39277,39284) = 7

We will now calculate the prime factors of 39277 and 39284, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39277 and 39284.

How to find the GCF of 39277 and 39284?

We will first find the prime factorization of 39277 and 39284. After we will calculate the factors of 39277 and 39284 and find the biggest common factor number .

Step-1: Prime Factorization of 39277

Prime factors of 39277 are 7, 31, 181. Prime factorization of 39277 in exponential form is:

39277 = 7¹ × 31¹ × 181¹

Step-2: Prime Factorization of 39284

Prime factors of 39284 are 2, 7, 23, 61. Prime factorization of 39284 in exponential form is:

39284 = 2² × 7¹ × 23¹ × 61¹

Step-3: Factors of 39277

List of positive integer factors of 39277 that divides 39277 without a remainder.

1, 7, 31, 181, 217, 1267, 5611

Step-4: Factors of 39284

List of positive integer factors of 39284 that divides 39277 without a remainder.

1, 2, 4, 7, 14, 23, 28, 46, 61, 92, 122, 161, 244, 322, 427, 644, 854, 1403, 1708, 2806, 5612, 9821, 19642

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39277 and 39284. The biggest common factor number is the GCF number.
So the greatest common factor 39277 and 39284 is 7.

Also check out the Least Common Multiple of 39277 and 39284