What is the Greatest Common Factor of 15142 and 15156?

Greatest common factor (GCF) of 15142 and 15156 is 2.

GCF(15142,15156) = 2

We will now calculate the prime factors of 15142 and 15156, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15142 and 15156.

How to find the GCF of 15142 and 15156?

We will first find the prime factorization of 15142 and 15156. After we will calculate the factors of 15142 and 15156 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 15156

Prime factors of 15156 are 2, 3, 421. Prime factorization of 15156 in exponential form is:

15156 = 2² × 3² × 421¹

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 15156

List of positive integer factors of 15156 that divides 15142 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 421, 842, 1263, 1684, 2526, 3789, 5052, 7578

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15142 and 15156. The biggest common factor number is the GCF number.
So the greatest common factor 15142 and 15156 is 2.

Also check out the Least Common Multiple of 15142 and 15156