What is the Greatest Common Factor of 15806 and 15820?

Greatest common factor (GCF) of 15806 and 15820 is 14.

GCF(15806,15820) = 14

We will now calculate the prime factors of 15806 and 15820, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15806 and 15820.

How to find the GCF of 15806 and 15820?

We will first find the prime factorization of 15806 and 15820. After we will calculate the factors of 15806 and 15820 and find the biggest common factor number .

Step-1: Prime Factorization of 15806

Prime factors of 15806 are 2, 7, 1129. Prime factorization of 15806 in exponential form is:

15806 = 2¹ × 7¹ × 1129¹

Step-2: Prime Factorization of 15820

Prime factors of 15820 are 2, 5, 7, 113. Prime factorization of 15820 in exponential form is:

15820 = 2² × 5¹ × 7¹ × 113¹

Step-3: Factors of 15806

List of positive integer factors of 15806 that divides 15806 without a remainder.

1, 2, 7, 14, 1129, 2258, 7903

Step-4: Factors of 15820

List of positive integer factors of 15820 that divides 15806 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 113, 140, 226, 452, 565, 791, 1130, 1582, 2260, 3164, 3955, 7910

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15806 and 15820. The biggest common factor number is the GCF number.
So the greatest common factor 15806 and 15820 is 14.

Also check out the Least Common Multiple of 15806 and 15820