What is the Greatest Common Factor of 15142 and 15154?

Greatest common factor (GCF) of 15142 and 15154 is 2.

GCF(15142,15154) = 2

We will now calculate the prime factors of 15142 and 15154, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15142 and 15154.

How to find the GCF of 15142 and 15154?

We will first find the prime factorization of 15142 and 15154. After we will calculate the factors of 15142 and 15154 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 15154

Prime factors of 15154 are 2, 7577. Prime factorization of 15154 in exponential form is:

15154 = 2¹ × 7577¹

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 15154

List of positive integer factors of 15154 that divides 15142 without a remainder.

1, 2, 7577

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15142 and 15154. The biggest common factor number is the GCF number.
So the greatest common factor 15142 and 15154 is 2.

Also check out the Least Common Multiple of 15142 and 15154