What is the Greatest Common Factor of 35449 and 35469?

Greatest common factor (GCF) of 35449 and 35469 is 1.

GCF(35449,35469) = 1

We will now calculate the prime factors of 35449 and 35469, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35449 and 35469.

How to find the GCF of 35449 and 35469?

We will first find the prime factorization of 35449 and 35469. After we will calculate the factors of 35449 and 35469 and find the biggest common factor number .

Step-1: Prime Factorization of 35449

Prime factors of 35449 are 35449. Prime factorization of 35449 in exponential form is:

35449 = 35449¹

Step-2: Prime Factorization of 35469

Prime factors of 35469 are 3, 7, 563. Prime factorization of 35469 in exponential form is:

35469 = 3² × 7¹ × 563¹

Step-3: Factors of 35449

List of positive integer factors of 35449 that divides 35449 without a remainder.

Step-4: Factors of 35469

List of positive integer factors of 35469 that divides 35449 without a remainder.

1, 3, 7, 9, 21, 63, 563, 1689, 3941, 5067, 11823

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35449 and 35469. The biggest common factor number is the GCF number.
So the greatest common factor 35449 and 35469 is 1.

Also check out the Least Common Multiple of 35449 and 35469