What is the Greatest Common Factor of 35410 and 35423?

Greatest common factor (GCF) of 35410 and 35423 is 1.

GCF(35410,35423) = 1

We will now calculate the prime factors of 35410 and 35423, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35410 and 35423.

How to find the GCF of 35410 and 35423?

We will first find the prime factorization of 35410 and 35423. After we will calculate the factors of 35410 and 35423 and find the biggest common factor number .

Step-1: Prime Factorization of 35410

Prime factors of 35410 are 2, 5, 3541. Prime factorization of 35410 in exponential form is:

35410 = 2¹ × 5¹ × 3541¹

Step-2: Prime Factorization of 35423

Prime factors of 35423 are 35423. Prime factorization of 35423 in exponential form is:

35423 = 35423¹

Step-3: Factors of 35410

List of positive integer factors of 35410 that divides 35410 without a remainder.

1, 2, 5, 10, 3541, 7082, 17705

Step-4: Factors of 35423

List of positive integer factors of 35423 that divides 35410 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35410 and 35423. The biggest common factor number is the GCF number.
So the greatest common factor 35410 and 35423 is 1.

Also check out the Least Common Multiple of 35410 and 35423