What is the Greatest Common Factor of 35017 and 35036?

Greatest common factor (GCF) of 35017 and 35036 is 19.

GCF(35017,35036) = 19

We will now calculate the prime factors of 35017 and 35036, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35017 and 35036.

How to find the GCF of 35017 and 35036?

We will first find the prime factorization of 35017 and 35036. After we will calculate the factors of 35017 and 35036 and find the biggest common factor number .

Step-1: Prime Factorization of 35017

Prime factors of 35017 are 19, 97. Prime factorization of 35017 in exponential form is:

35017 = 19² × 97¹

Step-2: Prime Factorization of 35036

Prime factors of 35036 are 2, 19, 461. Prime factorization of 35036 in exponential form is:

35036 = 2² × 19¹ × 461¹

Step-3: Factors of 35017

List of positive integer factors of 35017 that divides 35017 without a remainder.

1, 19, 97, 361, 1843

Step-4: Factors of 35036

List of positive integer factors of 35036 that divides 35017 without a remainder.

1, 2, 4, 19, 38, 76, 461, 922, 1844, 8759, 17518

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35017 and 35036. The biggest common factor number is the GCF number.
So the greatest common factor 35017 and 35036 is 19.

Also check out the Least Common Multiple of 35017 and 35036