What is the Greatest Common Factor of 40136 and 40142?

Greatest common factor (GCF) of 40136 and 40142 is 2.

GCF(40136,40142) = 2

We will now calculate the prime factors of 40136 and 40142, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40136 and 40142.

How to find the GCF of 40136 and 40142?

We will first find the prime factorization of 40136 and 40142. After we will calculate the factors of 40136 and 40142 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 40142

Prime factors of 40142 are 2, 20071. Prime factorization of 40142 in exponential form is:

40142 = 2¹ × 20071¹

Step-3: Factors of 40136

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

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

Step-4: Factors of 40142

List of positive integer factors of 40142 that divides 40136 without a remainder.

1, 2, 20071

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40136 and 40142. The biggest common factor number is the GCF number.
So the greatest common factor 40136 and 40142 is 2.

Also check out the Least Common Multiple of 40136 and 40142