What is the Greatest Common Factor of 15142 and 15161?

Greatest common factor (GCF) of 15142 and 15161 is 1.

GCF(15142,15161) = 1

We will now calculate the prime factors of 15142 and 15161, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15142 and 15161.

How to find the GCF of 15142 and 15161?

We will first find the prime factorization of 15142 and 15161. After we will calculate the factors of 15142 and 15161 and find the biggest common factor number .

Step-1: Prime Factorization of 15142

Prime factors of 15142 are 2, 67, 113. Prime factorization of 15142 in exponential form is:

15142 = 2¹ × 67¹ × 113¹

Step-2: Prime Factorization of 15161

Prime factors of 15161 are 15161. Prime factorization of 15161 in exponential form is:

15161 = 15161¹

Step-3: Factors of 15142

List of positive integer factors of 15142 that divides 15142 without a remainder.

1, 2, 67, 113, 134, 226, 7571

Step-4: Factors of 15161

List of positive integer factors of 15161 that divides 15142 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15142 and 15161. The biggest common factor number is the GCF number.
So the greatest common factor 15142 and 15161 is 1.

Also check out the Least Common Multiple of 15142 and 15161