What is the Greatest Common Factor of 4114 and 4120?

Greatest common factor (GCF) of 4114 and 4120 is 2.

GCF(4114,4120) = 2

We will now calculate the prime factors of 4114 and 4120, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4114 and 4120.

How to find the GCF of 4114 and 4120?

We will first find the prime factorization of 4114 and 4120. After we will calculate the factors of 4114 and 4120 and find the biggest common factor number .

Step-1: Prime Factorization of 4114

Prime factors of 4114 are 2, 11, 17. Prime factorization of 4114 in exponential form is:

4114 = 2¹ × 11² × 17¹

Step-2: Prime Factorization of 4120

Prime factors of 4120 are 2, 5, 103. Prime factorization of 4120 in exponential form is:

4120 = 2³ × 5¹ × 103¹

Step-3: Factors of 4114

List of positive integer factors of 4114 that divides 4114 without a remainder.

1, 2, 11, 17, 22, 34, 121, 187, 242, 374, 2057

Step-4: Factors of 4120

List of positive integer factors of 4120 that divides 4114 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 103, 206, 412, 515, 824, 1030, 2060

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4114 and 4120. The biggest common factor number is the GCF number.
So the greatest common factor 4114 and 4120 is 2.

Also check out the Least Common Multiple of 4114 and 4120