What is the Greatest Common Factor of 40130 and 40135?

Greatest common factor (GCF) of 40130 and 40135 is 5.

GCF(40130,40135) = 5

We will now calculate the prime factors of 40130 and 40135, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40130 and 40135.

How to find the GCF of 40130 and 40135?

We will first find the prime factorization of 40130 and 40135. After we will calculate the factors of 40130 and 40135 and find the biggest common factor number .

Step-1: Prime Factorization of 40130

Prime factors of 40130 are 2, 5, 4013. Prime factorization of 40130 in exponential form is:

40130 = 2¹ × 5¹ × 4013¹

Step-2: Prime Factorization of 40135

Prime factors of 40135 are 5, 23, 349. Prime factorization of 40135 in exponential form is:

40135 = 5¹ × 23¹ × 349¹

Step-3: Factors of 40130

List of positive integer factors of 40130 that divides 40130 without a remainder.

1, 2, 5, 10, 4013, 8026, 20065

Step-4: Factors of 40135

List of positive integer factors of 40135 that divides 40130 without a remainder.

1, 5, 23, 115, 349, 1745, 8027

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40130 and 40135. The biggest common factor number is the GCF number.
So the greatest common factor 40130 and 40135 is 5.

Also check out the Least Common Multiple of 40130 and 40135