What is the Greatest Common Factor of 35126 and 35146?

Greatest common factor (GCF) of 35126 and 35146 is 2.

GCF(35126,35146) = 2

We will now calculate the prime factors of 35126 and 35146, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35126 and 35146.

How to find the GCF of 35126 and 35146?

We will first find the prime factorization of 35126 and 35146. After we will calculate the factors of 35126 and 35146 and find the biggest common factor number .

Step-1: Prime Factorization of 35126

Prime factors of 35126 are 2, 7, 13, 193. Prime factorization of 35126 in exponential form is:

35126 = 2¹ × 7¹ × 13¹ × 193¹

Step-2: Prime Factorization of 35146

Prime factors of 35146 are 2, 17573. Prime factorization of 35146 in exponential form is:

35146 = 2¹ × 17573¹

Step-3: Factors of 35126

List of positive integer factors of 35126 that divides 35126 without a remainder.

1, 2, 7, 13, 14, 26, 91, 182, 193, 386, 1351, 2509, 2702, 5018, 17563

Step-4: Factors of 35146

List of positive integer factors of 35146 that divides 35126 without a remainder.

1, 2, 17573

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35126 and 35146. The biggest common factor number is the GCF number.
So the greatest common factor 35126 and 35146 is 2.

Also check out the Least Common Multiple of 35126 and 35146