What is the Greatest Common Factor of 35036 and 35042?

Greatest common factor (GCF) of 35036 and 35042 is 2.

GCF(35036,35042) = 2

We will now calculate the prime factors of 35036 and 35042, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35036 and 35042.

How to find the GCF of 35036 and 35042?

We will first find the prime factorization of 35036 and 35042. After we will calculate the factors of 35036 and 35042 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 35042

Prime factors of 35042 are 2, 7, 2503. Prime factorization of 35042 in exponential form is:

35042 = 2¹ × 7¹ × 2503¹

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 35042

List of positive integer factors of 35042 that divides 35036 without a remainder.

1, 2, 7, 14, 2503, 5006, 17521

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35036 and 35042. The biggest common factor number is the GCF number.
So the greatest common factor 35036 and 35042 is 2.

Also check out the Least Common Multiple of 35036 and 35042