What is the Greatest Common Factor of 16114 and 16121?

Greatest common factor (GCF) of 16114 and 16121 is 7.

GCF(16114,16121) = 7

We will now calculate the prime factors of 16114 and 16121, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16114 and 16121.

How to find the GCF of 16114 and 16121?

We will first find the prime factorization of 16114 and 16121. After we will calculate the factors of 16114 and 16121 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 16121

Prime factors of 16121 are 7, 47. Prime factorization of 16121 in exponential form is:

16121 = 7³ × 47¹

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 16121

List of positive integer factors of 16121 that divides 16114 without a remainder.

1, 7, 47, 49, 329, 343, 2303

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16114 and 16121. The biggest common factor number is the GCF number.
So the greatest common factor 16114 and 16121 is 7.

Also check out the Least Common Multiple of 16114 and 16121