What is the Greatest Common Factor of 35033 and 35049?

Greatest common factor (GCF) of 35033 and 35049 is 1.

GCF(35033,35049) = 1

We will now calculate the prime factors of 35033 and 35049, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35033 and 35049.

How to find the GCF of 35033 and 35049?

We will first find the prime factorization of 35033 and 35049. After we will calculate the factors of 35033 and 35049 and find the biggest common factor number .

Step-1: Prime Factorization of 35033

Prime factors of 35033 are 53, 661. Prime factorization of 35033 in exponential form is:

35033 = 53¹ × 661¹

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 35033

List of positive integer factors of 35033 that divides 35033 without a remainder.

1, 53, 661

Step-4: Factors of 35049

List of positive integer factors of 35049 that divides 35033 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35033 and 35049. The biggest common factor number is the GCF number.
So the greatest common factor 35033 and 35049 is 1.

Also check out the Least Common Multiple of 35033 and 35049