What is the Greatest Common Factor of 16114 and 16130?

Greatest common factor (GCF) of 16114 and 16130 is 2.

GCF(16114,16130) = 2

We will now calculate the prime factors of 16114 and 16130, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16114 and 16130.

How to find the GCF of 16114 and 16130?

We will first find the prime factorization of 16114 and 16130. After we will calculate the factors of 16114 and 16130 and find the biggest common factor number .

Step-1: Prime Factorization of 16114

Prime factors of 16114 are 2, 7, 1151. Prime factorization of 16114 in exponential form is:

16114 = 2¹ × 7¹ × 1151¹

Step-2: Prime Factorization of 16130

Prime factors of 16130 are 2, 5, 1613. Prime factorization of 16130 in exponential form is:

16130 = 2¹ × 5¹ × 1613¹

Step-3: Factors of 16114

List of positive integer factors of 16114 that divides 16114 without a remainder.

1, 2, 7, 14, 1151, 2302, 8057

Step-4: Factors of 16130

List of positive integer factors of 16130 that divides 16114 without a remainder.

1, 2, 5, 10, 1613, 3226, 8065

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16114 and 16130. The biggest common factor number is the GCF number.
So the greatest common factor 16114 and 16130 is 2.

Also check out the Least Common Multiple of 16114 and 16130