What is the Greatest Common Factor of 35122 and 35135?

Greatest common factor (GCF) of 35122 and 35135 is 1.

GCF(35122,35135) = 1

We will now calculate the prime factors of 35122 and 35135, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35122 and 35135.

How to find the GCF of 35122 and 35135?

We will first find the prime factorization of 35122 and 35135. After we will calculate the factors of 35122 and 35135 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 35135

Prime factors of 35135 are 5, 7027. Prime factorization of 35135 in exponential form is:

35135 = 5¹ × 7027¹

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 35135

List of positive integer factors of 35135 that divides 35122 without a remainder.

1, 5, 7027

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35122 and 35135. The biggest common factor number is the GCF number.
So the greatest common factor 35122 and 35135 is 1.

Also check out the Least Common Multiple of 35122 and 35135