What is the Greatest Common Factor of 15442 and 15459?

Greatest common factor (GCF) of 15442 and 15459 is 1.

GCF(15442,15459) = 1

We will now calculate the prime factors of 15442 and 15459, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15442 and 15459.

How to find the GCF of 15442 and 15459?

We will first find the prime factorization of 15442 and 15459. After we will calculate the factors of 15442 and 15459 and find the biggest common factor number .

Step-1: Prime Factorization of 15442

Prime factors of 15442 are 2, 7, 1103. Prime factorization of 15442 in exponential form is:

15442 = 2¹ × 7¹ × 1103¹

Step-2: Prime Factorization of 15459

Prime factors of 15459 are 3, 5153. Prime factorization of 15459 in exponential form is:

15459 = 3¹ × 5153¹

Step-3: Factors of 15442

List of positive integer factors of 15442 that divides 15442 without a remainder.

1, 2, 7, 14, 1103, 2206, 7721

Step-4: Factors of 15459

List of positive integer factors of 15459 that divides 15442 without a remainder.

1, 3, 5153

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15442 and 15459. The biggest common factor number is the GCF number.
So the greatest common factor 15442 and 15459 is 1.

Also check out the Least Common Multiple of 15442 and 15459