What is the Greatest Common Factor of 15500 and 15514?

Greatest common factor (GCF) of 15500 and 15514 is 2.

GCF(15500,15514) = 2

We will now calculate the prime factors of 15500 and 15514, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15500 and 15514.

How to find the GCF of 15500 and 15514?

We will first find the prime factorization of 15500 and 15514. After we will calculate the factors of 15500 and 15514 and find the biggest common factor number .

Step-1: Prime Factorization of 15500

Prime factors of 15500 are 2, 5, 31. Prime factorization of 15500 in exponential form is:

15500 = 2² × 5³ × 31¹

Step-2: Prime Factorization of 15514

Prime factors of 15514 are 2, 7757. Prime factorization of 15514 in exponential form is:

15514 = 2¹ × 7757¹

Step-3: Factors of 15500

List of positive integer factors of 15500 that divides 15500 without a remainder.

1, 2, 4, 5, 10, 20, 25, 31, 50, 62, 100, 124, 125, 155, 250, 310, 500, 620, 775, 1550, 3100, 3875, 7750

Step-4: Factors of 15514

List of positive integer factors of 15514 that divides 15500 without a remainder.

1, 2, 7757

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15500 and 15514. The biggest common factor number is the GCF number.
So the greatest common factor 15500 and 15514 is 2.

Also check out the Least Common Multiple of 15500 and 15514