What is the Greatest Common Factor of 35009 and 35029?

Greatest common factor (GCF) of 35009 and 35029 is 1.

GCF(35009,35029) = 1

We will now calculate the prime factors of 35009 and 35029, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35009 and 35029.

How to find the GCF of 35009 and 35029?

We will first find the prime factorization of 35009 and 35029. After we will calculate the factors of 35009 and 35029 and find the biggest common factor number .

Step-1: Prime Factorization of 35009

Prime factors of 35009 are 13, 2693. Prime factorization of 35009 in exponential form is:

35009 = 13¹ × 2693¹

Step-2: Prime Factorization of 35029

Prime factors of 35029 are 23, 1523. Prime factorization of 35029 in exponential form is:

35029 = 23¹ × 1523¹

Step-3: Factors of 35009

List of positive integer factors of 35009 that divides 35009 without a remainder.

1, 13, 2693

Step-4: Factors of 35029

List of positive integer factors of 35029 that divides 35009 without a remainder.

1, 23, 1523

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35009 and 35029. The biggest common factor number is the GCF number.
So the greatest common factor 35009 and 35029 is 1.

Also check out the Least Common Multiple of 35009 and 35029