What is the Greatest Common Factor of 15130 and 15142?

Greatest common factor (GCF) of 15130 and 15142 is 2.

GCF(15130,15142) = 2

We will now calculate the prime factors of 15130 and 15142, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15130 and 15142.

How to find the GCF of 15130 and 15142?

We will first find the prime factorization of 15130 and 15142. After we will calculate the factors of 15130 and 15142 and find the biggest common factor number .

Step-1: Prime Factorization of 15130

Prime factors of 15130 are 2, 5, 17, 89. Prime factorization of 15130 in exponential form is:

15130 = 2¹ × 5¹ × 17¹ × 89¹

Step-2: 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-3: Factors of 15130

List of positive integer factors of 15130 that divides 15130 without a remainder.

1, 2, 5, 10, 17, 34, 85, 89, 170, 178, 445, 890, 1513, 3026, 7565

Step-4: Factors of 15142

List of positive integer factors of 15142 that divides 15130 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15130 and 15142. The biggest common factor number is the GCF number.
So the greatest common factor 15130 and 15142 is 2.

Also check out the Least Common Multiple of 15130 and 15142