What is the Greatest Common Factor of 4130 and 4135?

Greatest common factor (GCF) of 4130 and 4135 is 5.

GCF(4130,4135) = 5

We will now calculate the prime factors of 4130 and 4135, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4130 and 4135.

How to find the GCF of 4130 and 4135?

We will first find the prime factorization of 4130 and 4135. After we will calculate the factors of 4130 and 4135 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 4135

Prime factors of 4135 are 5, 827. Prime factorization of 4135 in exponential form is:

4135 = 5¹ × 827¹

Step-3: Factors of 4130

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

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

Step-4: Factors of 4135

List of positive integer factors of 4135 that divides 4130 without a remainder.

1, 5, 827

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4130 and 4135. The biggest common factor number is the GCF number.
So the greatest common factor 4130 and 4135 is 5.

Also check out the Least Common Multiple of 4130 and 4135