What is the Greatest Common Factor of 35036 and 35055?

Greatest common factor (GCF) of 35036 and 35055 is 19.

GCF(35036,35055) = 19

We will now calculate the prime factors of 35036 and 35055, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35036 and 35055.

How to find the GCF of 35036 and 35055?

We will first find the prime factorization of 35036 and 35055. After we will calculate the factors of 35036 and 35055 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 35055

Prime factors of 35055 are 3, 5, 19, 41. Prime factorization of 35055 in exponential form is:

35055 = 3² × 5¹ × 19¹ × 41¹

Step-3: Factors of 35036

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

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

Step-4: Factors of 35055

List of positive integer factors of 35055 that divides 35036 without a remainder.

1, 3, 5, 9, 15, 19, 41, 45, 57, 95, 123, 171, 205, 285, 369, 615, 779, 855, 1845, 2337, 3895, 7011, 11685

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35036 and 35055. The biggest common factor number is the GCF number.
So the greatest common factor 35036 and 35055 is 19.

Also check out the Least Common Multiple of 35036 and 35055