What is the Greatest Common Factor of 35122 and 35126?

Greatest common factor (GCF) of 35122 and 35126 is 2.

GCF(35122,35126) = 2

We will now calculate the prime factors of 35122 and 35126, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35122 and 35126.

How to find the GCF of 35122 and 35126?

We will first find the prime factorization of 35122 and 35126. After we will calculate the factors of 35122 and 35126 and find the biggest common factor number .

Step-1: Prime Factorization of 35122

Prime factors of 35122 are 2, 17, 1033. Prime factorization of 35122 in exponential form is:

35122 = 2¹ × 17¹ × 1033¹

Step-2: 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-3: Factors of 35122

List of positive integer factors of 35122 that divides 35122 without a remainder.

1, 2, 17, 34, 1033, 2066, 17561

Step-4: Factors of 35126

List of positive integer factors of 35126 that divides 35122 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35122 and 35126. The biggest common factor number is the GCF number.
So the greatest common factor 35122 and 35126 is 2.

Also check out the Least Common Multiple of 35122 and 35126