What is the Greatest Common Factor of 31680 and 31695?

Greatest common factor (GCF) of 31680 and 31695 is 15.

GCF(31680,31695) = 15

We will now calculate the prime factors of 31680 and 31695, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31680 and 31695.

How to find the GCF of 31680 and 31695?

We will first find the prime factorization of 31680 and 31695. After we will calculate the factors of 31680 and 31695 and find the biggest common factor number .

Step-1: Prime Factorization of 31680

Prime factors of 31680 are 2, 3, 5, 11. Prime factorization of 31680 in exponential form is:

31680 = 2⁶ × 3² × 5¹ × 11¹

Step-2: Prime Factorization of 31695

Prime factors of 31695 are 3, 5, 2113. Prime factorization of 31695 in exponential form is:

31695 = 3¹ × 5¹ × 2113¹

Step-3: Factors of 31680

List of positive integer factors of 31680 that divides 31680 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 15, 16, 18, 20, 22, 24, 30, 32, 33, 36, 40, 44, 45, 48, 55, 60, 64, 66, 72, 80, 88, 90, 96, 99, 110, 120, 132, 144, 160, 165, 176, 180, 192, 198, 220, 240, 264, 288, 320, 330, 352, 360, 396, 440, 480, 495, 528, 576, 660, 704, 720, 792, 880, 960, 990, 1056, 1320, 1440, 1584, 1760, 1980, 2112, 2640, 2880, 3168, 3520, 3960, 5280, 6336, 7920, 10560, 15840

Step-4: Factors of 31695

List of positive integer factors of 31695 that divides 31680 without a remainder.

1, 3, 5, 15, 2113, 6339, 10565

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31680 and 31695. The biggest common factor number is the GCF number.
So the greatest common factor 31680 and 31695 is 15.

Also check out the Least Common Multiple of 31680 and 31695