What is the Greatest Common Factor of 31804 and 31820?

Greatest common factor (GCF) of 31804 and 31820 is 4.

GCF(31804,31820) = 4

We will now calculate the prime factors of 31804 and 31820, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31804 and 31820.

How to find the GCF of 31804 and 31820?

We will first find the prime factorization of 31804 and 31820. After we will calculate the factors of 31804 and 31820 and find the biggest common factor number .

Step-1: Prime Factorization of 31804

Prime factors of 31804 are 2, 7951. Prime factorization of 31804 in exponential form is:

31804 = 2² × 7951¹

Step-2: Prime Factorization of 31820

Prime factors of 31820 are 2, 5, 37, 43. Prime factorization of 31820 in exponential form is:

31820 = 2² × 5¹ × 37¹ × 43¹

Step-3: Factors of 31804

List of positive integer factors of 31804 that divides 31804 without a remainder.

1, 2, 4, 7951, 15902

Step-4: Factors of 31820

List of positive integer factors of 31820 that divides 31804 without a remainder.

1, 2, 4, 5, 10, 20, 37, 43, 74, 86, 148, 172, 185, 215, 370, 430, 740, 860, 1591, 3182, 6364, 7955, 15910

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31804 and 31820. The biggest common factor number is the GCF number.
So the greatest common factor 31804 and 31820 is 4.

Also check out the Least Common Multiple of 31804 and 31820