What is the Greatest Common Factor of 35123 and 35134?

Greatest common factor (GCF) of 35123 and 35134 is 11.

GCF(35123,35134) = 11

We will now calculate the prime factors of 35123 and 35134, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35123 and 35134.

How to find the GCF of 35123 and 35134?

We will first find the prime factorization of 35123 and 35134. After we will calculate the factors of 35123 and 35134 and find the biggest common factor number .

Step-1: Prime Factorization of 35123

Prime factors of 35123 are 11, 31, 103. Prime factorization of 35123 in exponential form is:

35123 = 11¹ × 31¹ × 103¹

Step-2: Prime Factorization of 35134

Prime factors of 35134 are 2, 11, 1597. Prime factorization of 35134 in exponential form is:

35134 = 2¹ × 11¹ × 1597¹

Step-3: Factors of 35123

List of positive integer factors of 35123 that divides 35123 without a remainder.

1, 11, 31, 103, 341, 1133, 3193

Step-4: Factors of 35134

List of positive integer factors of 35134 that divides 35123 without a remainder.

1, 2, 11, 22, 1597, 3194, 17567

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35123 and 35134. The biggest common factor number is the GCF number.
So the greatest common factor 35123 and 35134 is 11.

Also check out the Least Common Multiple of 35123 and 35134