What is the Greatest Common Factor of 40142 and 40149?

Greatest common factor (GCF) of 40142 and 40149 is 1.

GCF(40142,40149) = 1

We will now calculate the prime factors of 40142 and 40149, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40142 and 40149.

How to find the GCF of 40142 and 40149?

We will first find the prime factorization of 40142 and 40149. After we will calculate the factors of 40142 and 40149 and find the biggest common factor number .

Step-1: Prime Factorization of 40142

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

40142 = 2¹ × 20071¹

Step-2: Prime Factorization of 40149

Prime factors of 40149 are 3, 1487. Prime factorization of 40149 in exponential form is:

40149 = 3³ × 1487¹

Step-3: Factors of 40142

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

1, 2, 20071

Step-4: Factors of 40149

List of positive integer factors of 40149 that divides 40142 without a remainder.

1, 3, 9, 27, 1487, 4461, 13383

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40142 and 40149. The biggest common factor number is the GCF number.
So the greatest common factor 40142 and 40149 is 1.

Also check out the Least Common Multiple of 40142 and 40149