What is the Greatest Common Factor of 35142 and 35149?

Greatest common factor (GCF) of 35142 and 35149 is 1.

GCF(35142,35149) = 1

We will now calculate the prime factors of 35142 and 35149, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35142 and 35149.

How to find the GCF of 35142 and 35149?

We will first find the prime factorization of 35142 and 35149. After we will calculate the factors of 35142 and 35149 and find the biggest common factor number .

Step-1: Prime Factorization of 35142

Prime factors of 35142 are 2, 3, 5857. Prime factorization of 35142 in exponential form is:

35142 = 2¹ × 3¹ × 5857¹

Step-2: Prime Factorization of 35149

Prime factors of 35149 are 35149. Prime factorization of 35149 in exponential form is:

35149 = 35149¹

Step-3: Factors of 35142

List of positive integer factors of 35142 that divides 35142 without a remainder.

1, 2, 3, 6, 5857, 11714, 17571

Step-4: Factors of 35149

List of positive integer factors of 35149 that divides 35142 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35142 and 35149. The biggest common factor number is the GCF number.
So the greatest common factor 35142 and 35149 is 1.

Also check out the Least Common Multiple of 35142 and 35149