What is the Greatest Common Factor of 15034 and 15042?

Greatest common factor (GCF) of 15034 and 15042 is 2.

GCF(15034,15042) = 2

We will now calculate the prime factors of 15034 and 15042, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15034 and 15042.

How to find the GCF of 15034 and 15042?

We will first find the prime factorization of 15034 and 15042. After we will calculate the factors of 15034 and 15042 and find the biggest common factor number .

Step-1: Prime Factorization of 15034

Prime factors of 15034 are 2, 7517. Prime factorization of 15034 in exponential form is:

15034 = 2¹ × 7517¹

Step-2: Prime Factorization of 15042

Prime factors of 15042 are 2, 3, 23, 109. Prime factorization of 15042 in exponential form is:

15042 = 2¹ × 3¹ × 23¹ × 109¹

Step-3: Factors of 15034

List of positive integer factors of 15034 that divides 15034 without a remainder.

1, 2, 7517

Step-4: Factors of 15042

List of positive integer factors of 15042 that divides 15034 without a remainder.

1, 2, 3, 6, 23, 46, 69, 109, 138, 218, 327, 654, 2507, 5014, 7521

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15034 and 15042. The biggest common factor number is the GCF number.
So the greatest common factor 15034 and 15042 is 2.

Also check out the Least Common Multiple of 15034 and 15042