What is the Greatest Common Factor of 31328 and 31348?

Greatest common factor (GCF) of 31328 and 31348 is 4.

GCF(31328,31348) = 4

We will now calculate the prime factors of 31328 and 31348, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31328 and 31348.

How to find the GCF of 31328 and 31348?

We will first find the prime factorization of 31328 and 31348. After we will calculate the factors of 31328 and 31348 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 31348

Prime factors of 31348 are 2, 17, 461. Prime factorization of 31348 in exponential form is:

31348 = 2² × 17¹ × 461¹

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 31348

List of positive integer factors of 31348 that divides 31328 without a remainder.

1, 2, 4, 17, 34, 68, 461, 922, 1844, 7837, 15674

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31328 and 31348. The biggest common factor number is the GCF number.
So the greatest common factor 31328 and 31348 is 4.

Also check out the Least Common Multiple of 31328 and 31348