What is the Greatest Common Factor of 4120 and 4130?

Greatest common factor (GCF) of 4120 and 4130 is 10.

GCF(4120,4130) = 10

We will now calculate the prime factors of 4120 and 4130, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4120 and 4130.

How to find the GCF of 4120 and 4130?

We will first find the prime factorization of 4120 and 4130. After we will calculate the factors of 4120 and 4130 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 4130

Prime factors of 4130 are 2, 5, 7, 59. Prime factorization of 4130 in exponential form is:

4130 = 2¹ × 5¹ × 7¹ × 59¹

Step-3: Factors of 4120

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

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

Step-4: Factors of 4130

List of positive integer factors of 4130 that divides 4120 without a remainder.

1, 2, 5, 7, 10, 14, 35, 59, 70, 118, 295, 413, 590, 826, 2065

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4120 and 4130. The biggest common factor number is the GCF number.
So the greatest common factor 4120 and 4130 is 10.

Also check out the Least Common Multiple of 4120 and 4130