What is the Greatest Common Factor of 35034 and 35049?

Greatest common factor (GCF) of 35034 and 35049 is 3.

GCF(35034,35049) = 3

We will now calculate the prime factors of 35034 and 35049, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35034 and 35049.

How to find the GCF of 35034 and 35049?

We will first find the prime factorization of 35034 and 35049. After we will calculate the factors of 35034 and 35049 and find the biggest common factor number .

Step-1: Prime Factorization of 35034

Prime factors of 35034 are 2, 3, 5839. Prime factorization of 35034 in exponential form is:

35034 = 2¹ × 3¹ × 5839¹

Step-2: Prime Factorization of 35049

Prime factors of 35049 are 3, 7, 1669. Prime factorization of 35049 in exponential form is:

35049 = 3¹ × 7¹ × 1669¹

Step-3: Factors of 35034

List of positive integer factors of 35034 that divides 35034 without a remainder.

1, 2, 3, 6, 5839, 11678, 17517

Step-4: Factors of 35049

List of positive integer factors of 35049 that divides 35034 without a remainder.

1, 3, 7, 21, 1669, 5007, 11683

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35034 and 35049. The biggest common factor number is the GCF number.
So the greatest common factor 35034 and 35049 is 3.

Also check out the Least Common Multiple of 35034 and 35049