What is the Greatest Common Factor of 35409 and 35429?

Greatest common factor (GCF) of 35409 and 35429 is 1.

GCF(35409,35429) = 1

We will now calculate the prime factors of 35409 and 35429, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35409 and 35429.

How to find the GCF of 35409 and 35429?

We will first find the prime factorization of 35409 and 35429. After we will calculate the factors of 35409 and 35429 and find the biggest common factor number .

Step-1: Prime Factorization of 35409

Prime factors of 35409 are 3, 11, 29, 37. Prime factorization of 35409 in exponential form is:

35409 = 3¹ × 11¹ × 29¹ × 37¹

Step-2: Prime Factorization of 35429

Prime factors of 35429 are 71, 499. Prime factorization of 35429 in exponential form is:

35429 = 71¹ × 499¹

Step-3: Factors of 35409

List of positive integer factors of 35409 that divides 35409 without a remainder.

1, 3, 11, 29, 33, 37, 87, 111, 319, 407, 957, 1073, 1221, 3219, 11803

Step-4: Factors of 35429

List of positive integer factors of 35429 that divides 35409 without a remainder.

1, 71, 499

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35409 and 35429. The biggest common factor number is the GCF number.
So the greatest common factor 35409 and 35429 is 1.

Also check out the Least Common Multiple of 35409 and 35429