What is the Greatest Common Factor of 15700 and 15719?

Greatest common factor (GCF) of 15700 and 15719 is 1.

GCF(15700,15719) = 1

We will now calculate the prime factors of 15700 and 15719, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15700 and 15719.

How to find the GCF of 15700 and 15719?

We will first find the prime factorization of 15700 and 15719. After we will calculate the factors of 15700 and 15719 and find the biggest common factor number .

Step-1: Prime Factorization of 15700

Prime factors of 15700 are 2, 5, 157. Prime factorization of 15700 in exponential form is:

15700 = 2² × 5² × 157¹

Step-2: Prime Factorization of 15719

Prime factors of 15719 are 11, 1429. Prime factorization of 15719 in exponential form is:

15719 = 11¹ × 1429¹

Step-3: Factors of 15700

List of positive integer factors of 15700 that divides 15700 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 157, 314, 628, 785, 1570, 3140, 3925, 7850

Step-4: Factors of 15719

List of positive integer factors of 15719 that divides 15700 without a remainder.

1, 11, 1429

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15700 and 15719. The biggest common factor number is the GCF number.
So the greatest common factor 15700 and 15719 is 1.

Also check out the Least Common Multiple of 15700 and 15719