What is the Greatest Common Factor of 31815 and 31826?

Greatest common factor (GCF) of 31815 and 31826 is 1.

GCF(31815,31826) = 1

We will now calculate the prime factors of 31815 and 31826, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31815 and 31826.

How to find the GCF of 31815 and 31826?

We will first find the prime factorization of 31815 and 31826. After we will calculate the factors of 31815 and 31826 and find the biggest common factor number .

Step-1: Prime Factorization of 31815

Prime factors of 31815 are 3, 5, 7, 101. Prime factorization of 31815 in exponential form is:

31815 = 3² × 5¹ × 7¹ × 101¹

Step-2: Prime Factorization of 31826

Prime factors of 31826 are 2, 15913. Prime factorization of 31826 in exponential form is:

31826 = 2¹ × 15913¹

Step-3: Factors of 31815

List of positive integer factors of 31815 that divides 31815 without a remainder.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 101, 105, 303, 315, 505, 707, 909, 1515, 2121, 3535, 4545, 6363, 10605

Step-4: Factors of 31826

List of positive integer factors of 31826 that divides 31815 without a remainder.

1, 2, 15913

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31815 and 31826. The biggest common factor number is the GCF number.
So the greatest common factor 31815 and 31826 is 1.

Also check out the Least Common Multiple of 31815 and 31826