What is the Greatest Common Factor of 35449 and 35460?

Greatest common factor (GCF) of 35449 and 35460 is 1.

GCF(35449,35460) = 1

We will now calculate the prime factors of 35449 and 35460, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35449 and 35460.

How to find the GCF of 35449 and 35460?

We will first find the prime factorization of 35449 and 35460. After we will calculate the factors of 35449 and 35460 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 35460

Prime factors of 35460 are 2, 3, 5, 197. Prime factorization of 35460 in exponential form is:

35460 = 2² × 3² × 5¹ × 197¹

Step-3: Factors of 35449

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

Step-4: Factors of 35460

List of positive integer factors of 35460 that divides 35449 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180, 197, 394, 591, 788, 985, 1182, 1773, 1970, 2364, 2955, 3546, 3940, 5910, 7092, 8865, 11820, 17730

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35449 and 35460. The biggest common factor number is the GCF number.
So the greatest common factor 35449 and 35460 is 1.

Also check out the Least Common Multiple of 35449 and 35460