What is the Greatest Common Factor of 31328 and 31339?

Greatest common factor (GCF) of 31328 and 31339 is 11.

GCF(31328,31339) = 11

We will now calculate the prime factors of 31328 and 31339, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31328 and 31339.

How to find the GCF of 31328 and 31339?

We will first find the prime factorization of 31328 and 31339. After we will calculate the factors of 31328 and 31339 and find the biggest common factor number .

Step-1: Prime Factorization of 31328

Prime factors of 31328 are 2, 11, 89. Prime factorization of 31328 in exponential form is:

31328 = 2⁵ × 11¹ × 89¹

Step-2: Prime Factorization of 31339

Prime factors of 31339 are 7, 11, 37. Prime factorization of 31339 in exponential form is:

31339 = 7¹ × 11² × 37¹

Step-3: Factors of 31328

List of positive integer factors of 31328 that divides 31328 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 89, 176, 178, 352, 356, 712, 979, 1424, 1958, 2848, 3916, 7832, 15664

Step-4: Factors of 31339

List of positive integer factors of 31339 that divides 31328 without a remainder.

1, 7, 11, 37, 77, 121, 259, 407, 847, 2849, 4477

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31328 and 31339. The biggest common factor number is the GCF number.
So the greatest common factor 31328 and 31339 is 11.

Also check out the Least Common Multiple of 31328 and 31339