What is the Greatest Common Factor of 35131 and 35143?

Greatest common factor (GCF) of 35131 and 35143 is 1.

GCF(35131,35143) = 1

We will now calculate the prime factors of 35131 and 35143, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35131 and 35143.

How to find the GCF of 35131 and 35143?

We will first find the prime factorization of 35131 and 35143. After we will calculate the factors of 35131 and 35143 and find the biggest common factor number .

Step-1: Prime Factorization of 35131

Prime factors of 35131 are 19, 43. Prime factorization of 35131 in exponential form is:

35131 = 19¹ × 43²

Step-2: Prime Factorization of 35143

Prime factors of 35143 are 113, 311. Prime factorization of 35143 in exponential form is:

35143 = 113¹ × 311¹

Step-3: Factors of 35131

List of positive integer factors of 35131 that divides 35131 without a remainder.

1, 19, 43, 817, 1849

Step-4: Factors of 35143

List of positive integer factors of 35143 that divides 35131 without a remainder.

1, 113, 311

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35131 and 35143. The biggest common factor number is the GCF number.
So the greatest common factor 35131 and 35143 is 1.

Also check out the Least Common Multiple of 35131 and 35143