What is the Greatest Common Factor of 35391 and 35409?

Greatest common factor (GCF) of 35391 and 35409 is 3.

GCF(35391,35409) = 3

We will now calculate the prime factors of 35391 and 35409, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35391 and 35409.

How to find the GCF of 35391 and 35409?

We will first find the prime factorization of 35391 and 35409. After we will calculate the factors of 35391 and 35409 and find the biggest common factor number .

Step-1: Prime Factorization of 35391

Prime factors of 35391 are 3, 47, 251. Prime factorization of 35391 in exponential form is:

35391 = 3¹ × 47¹ × 251¹

Step-2: 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-3: Factors of 35391

List of positive integer factors of 35391 that divides 35391 without a remainder.

1, 3, 47, 141, 251, 753, 11797

Step-4: Factors of 35409

List of positive integer factors of 35409 that divides 35391 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35391 and 35409. The biggest common factor number is the GCF number.
So the greatest common factor 35391 and 35409 is 3.

Also check out the Least Common Multiple of 35391 and 35409