What is the Greatest Common Factor of 36142 and 36149?

Greatest common factor (GCF) of 36142 and 36149 is 1.

GCF(36142,36149) = 1

We will now calculate the prime factors of 36142 and 36149, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36142 and 36149.

How to find the GCF of 36142 and 36149?

We will first find the prime factorization of 36142 and 36149. After we will calculate the factors of 36142 and 36149 and find the biggest common factor number .

Step-1: Prime Factorization of 36142

Prime factors of 36142 are 2, 17, 1063. Prime factorization of 36142 in exponential form is:

36142 = 2¹ × 17¹ × 1063¹

Step-2: Prime Factorization of 36149

Prime factors of 36149 are 37, 977. Prime factorization of 36149 in exponential form is:

36149 = 37¹ × 977¹

Step-3: Factors of 36142

List of positive integer factors of 36142 that divides 36142 without a remainder.

1, 2, 17, 34, 1063, 2126, 18071

Step-4: Factors of 36149

List of positive integer factors of 36149 that divides 36142 without a remainder.

1, 37, 977

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36142 and 36149. The biggest common factor number is the GCF number.
So the greatest common factor 36142 and 36149 is 1.

Also check out the Least Common Multiple of 36142 and 36149