What is the Greatest Common Factor of 15714 and 15722?

Greatest common factor (GCF) of 15714 and 15722 is 2.

GCF(15714,15722) = 2

We will now calculate the prime factors of 15714 and 15722, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15714 and 15722.

How to find the GCF of 15714 and 15722?

We will first find the prime factorization of 15714 and 15722. After we will calculate the factors of 15714 and 15722 and find the biggest common factor number .

Step-1: Prime Factorization of 15714

Prime factors of 15714 are 2, 3, 97. Prime factorization of 15714 in exponential form is:

15714 = 2¹ × 3⁴ × 97¹

Step-2: Prime Factorization of 15722

Prime factors of 15722 are 2, 7, 1123. Prime factorization of 15722 in exponential form is:

15722 = 2¹ × 7¹ × 1123¹

Step-3: Factors of 15714

List of positive integer factors of 15714 that divides 15714 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 97, 162, 194, 291, 582, 873, 1746, 2619, 5238, 7857

Step-4: Factors of 15722

List of positive integer factors of 15722 that divides 15714 without a remainder.

1, 2, 7, 14, 1123, 2246, 7861

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15714 and 15722. The biggest common factor number is the GCF number.
So the greatest common factor 15714 and 15722 is 2.

Also check out the Least Common Multiple of 15714 and 15722