What is the Greatest Common Factor of 35119 and 35131?

Greatest common factor (GCF) of 35119 and 35131 is 1.

GCF(35119,35131) = 1

We will now calculate the prime factors of 35119 and 35131, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35119 and 35131.

How to find the GCF of 35119 and 35131?

We will first find the prime factorization of 35119 and 35131. After we will calculate the factors of 35119 and 35131 and find the biggest common factor number .

Step-1: Prime Factorization of 35119

Prime factors of 35119 are 7, 29, 173. Prime factorization of 35119 in exponential form is:

35119 = 7¹ × 29¹ × 173¹

Step-2: Prime Factorization of 35131

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

35131 = 19¹ × 43²

Step-3: Factors of 35119

List of positive integer factors of 35119 that divides 35119 without a remainder.

1, 7, 29, 173, 203, 1211, 5017

Step-4: Factors of 35131

List of positive integer factors of 35131 that divides 35119 without a remainder.

1, 19, 43, 817, 1849

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35119 and 35131. The biggest common factor number is the GCF number.
So the greatest common factor 35119 and 35131 is 1.

Also check out the Least Common Multiple of 35119 and 35131