What is the Greatest Common Factor of 31668 and 31687?

Greatest common factor (GCF) of 31668 and 31687 is 1.

GCF(31668,31687) = 1

We will now calculate the prime factors of 31668 and 31687, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31668 and 31687.

How to find the GCF of 31668 and 31687?

We will first find the prime factorization of 31668 and 31687. After we will calculate the factors of 31668 and 31687 and find the biggest common factor number .

Step-1: Prime Factorization of 31668

Prime factors of 31668 are 2, 3, 7, 13, 29. Prime factorization of 31668 in exponential form is:

31668 = 2² × 3¹ × 7¹ × 13¹ × 29¹

Step-2: Prime Factorization of 31687

Prime factors of 31687 are 31687. Prime factorization of 31687 in exponential form is:

31687 = 31687¹

Step-3: Factors of 31668

List of positive integer factors of 31668 that divides 31668 without a remainder.

1, 2, 3, 4, 6, 7, 12, 13, 14, 21, 26, 28, 29, 39, 42, 52, 58, 78, 84, 87, 91, 116, 156, 174, 182, 203, 273, 348, 364, 377, 406, 546, 609, 754, 812, 1092, 1131, 1218, 1508, 2262, 2436, 2639, 4524, 5278, 7917, 10556, 15834

Step-4: Factors of 31687

List of positive integer factors of 31687 that divides 31668 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31668 and 31687. The biggest common factor number is the GCF number.
So the greatest common factor 31668 and 31687 is 1.

Also check out the Least Common Multiple of 31668 and 31687