What is the Greatest Common Factor of 15722 and 15730?

Greatest common factor (GCF) of 15722 and 15730 is 2.

GCF(15722,15730) = 2

We will now calculate the prime factors of 15722 and 15730, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15722 and 15730.

How to find the GCF of 15722 and 15730?

We will first find the prime factorization of 15722 and 15730. After we will calculate the factors of 15722 and 15730 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 15730

Prime factors of 15730 are 2, 5, 11, 13. Prime factorization of 15730 in exponential form is:

15730 = 2¹ × 5¹ × 11² × 13¹

Step-3: Factors of 15722

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

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

Step-4: Factors of 15730

List of positive integer factors of 15730 that divides 15722 without a remainder.

1, 2, 5, 10, 11, 13, 22, 26, 55, 65, 110, 121, 130, 143, 242, 286, 605, 715, 1210, 1430, 1573, 3146, 7865

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15722 and 15730. The biggest common factor number is the GCF number.
So the greatest common factor 15722 and 15730 is 2.

Also check out the Least Common Multiple of 15722 and 15730