What is the Greatest Common Factor of 31890 and 31907?

Greatest common factor (GCF) of 31890 and 31907 is 1.

GCF(31890,31907) = 1

We will now calculate the prime factors of 31890 and 31907, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31890 and 31907.

How to find the GCF of 31890 and 31907?

We will first find the prime factorization of 31890 and 31907. After we will calculate the factors of 31890 and 31907 and find the biggest common factor number .

Step-1: Prime Factorization of 31890

Prime factors of 31890 are 2, 3, 5, 1063. Prime factorization of 31890 in exponential form is:

31890 = 2¹ × 3¹ × 5¹ × 1063¹

Step-2: Prime Factorization of 31907

Prime factors of 31907 are 31907. Prime factorization of 31907 in exponential form is:

31907 = 31907¹

Step-3: Factors of 31890

List of positive integer factors of 31890 that divides 31890 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 1063, 2126, 3189, 5315, 6378, 10630, 15945

Step-4: Factors of 31907

List of positive integer factors of 31907 that divides 31890 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31890 and 31907. The biggest common factor number is the GCF number.
So the greatest common factor 31890 and 31907 is 1.

Also check out the Least Common Multiple of 31890 and 31907