What is the Greatest Common Factor of 31800 and 31817?

Greatest common factor (GCF) of 31800 and 31817 is 1.

GCF(31800,31817) = 1

We will now calculate the prime factors of 31800 and 31817, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31800 and 31817.

How to find the GCF of 31800 and 31817?

We will first find the prime factorization of 31800 and 31817. After we will calculate the factors of 31800 and 31817 and find the biggest common factor number .

Step-1: Prime Factorization of 31800

Prime factors of 31800 are 2, 3, 5, 53. Prime factorization of 31800 in exponential form is:

31800 = 2³ × 3¹ × 5² × 53¹

Step-2: Prime Factorization of 31817

Prime factors of 31817 are 31817. Prime factorization of 31817 in exponential form is:

31817 = 31817¹

Step-3: Factors of 31800

List of positive integer factors of 31800 that divides 31800 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 53, 60, 75, 100, 106, 120, 150, 159, 200, 212, 265, 300, 318, 424, 530, 600, 636, 795, 1060, 1272, 1325, 1590, 2120, 2650, 3180, 3975, 5300, 6360, 7950, 10600, 15900

Step-4: Factors of 31817

List of positive integer factors of 31817 that divides 31800 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31800 and 31817. The biggest common factor number is the GCF number.
So the greatest common factor 31800 and 31817 is 1.

Also check out the Least Common Multiple of 31800 and 31817