What is the Greatest Common Factor of 40130 and 40136?

Greatest common factor (GCF) of 40130 and 40136 is 2.

GCF(40130,40136) = 2

We will now calculate the prime factors of 40130 and 40136, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40130 and 40136.

How to find the GCF of 40130 and 40136?

We will first find the prime factorization of 40130 and 40136. After we will calculate the factors of 40130 and 40136 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 40136

Prime factors of 40136 are 2, 29, 173. Prime factorization of 40136 in exponential form is:

40136 = 2³ × 29¹ × 173¹

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 40136

List of positive integer factors of 40136 that divides 40130 without a remainder.

1, 2, 4, 8, 29, 58, 116, 173, 232, 346, 692, 1384, 5017, 10034, 20068

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40130 and 40136. The biggest common factor number is the GCF number.
So the greatest common factor 40130 and 40136 is 2.

Also check out the Least Common Multiple of 40130 and 40136