What is the Greatest Common Factor of 35478 and 35491?

Greatest common factor (GCF) of 35478 and 35491 is 1.

GCF(35478,35491) = 1

We will now calculate the prime factors of 35478 and 35491, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35478 and 35491.

How to find the GCF of 35478 and 35491?

We will first find the prime factorization of 35478 and 35491. After we will calculate the factors of 35478 and 35491 and find the biggest common factor number .

Step-1: Prime Factorization of 35478

Prime factors of 35478 are 2, 3, 73. Prime factorization of 35478 in exponential form is:

35478 = 2¹ × 3⁵ × 73¹

Step-2: Prime Factorization of 35491

Prime factors of 35491 are 35491. Prime factorization of 35491 in exponential form is:

35491 = 35491¹

Step-3: Factors of 35478

List of positive integer factors of 35478 that divides 35478 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 73, 81, 146, 162, 219, 243, 438, 486, 657, 1314, 1971, 3942, 5913, 11826, 17739

Step-4: Factors of 35491

List of positive integer factors of 35491 that divides 35478 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35478 and 35491. The biggest common factor number is the GCF number.
So the greatest common factor 35478 and 35491 is 1.

Also check out the Least Common Multiple of 35478 and 35491