What is the Greatest Common Factor of 35408 and 35426?

Greatest common factor (GCF) of 35408 and 35426 is 2.

GCF(35408,35426) = 2

We will now calculate the prime factors of 35408 and 35426, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35408 and 35426.

How to find the GCF of 35408 and 35426?

We will first find the prime factorization of 35408 and 35426. After we will calculate the factors of 35408 and 35426 and find the biggest common factor number .

Step-1: Prime Factorization of 35408

Prime factors of 35408 are 2, 2213. Prime factorization of 35408 in exponential form is:

35408 = 2⁴ × 2213¹

Step-2: Prime Factorization of 35426

Prime factors of 35426 are 2, 17713. Prime factorization of 35426 in exponential form is:

35426 = 2¹ × 17713¹

Step-3: Factors of 35408

List of positive integer factors of 35408 that divides 35408 without a remainder.

1, 2, 4, 8, 16, 2213, 4426, 8852, 17704

Step-4: Factors of 35426

List of positive integer factors of 35426 that divides 35408 without a remainder.

1, 2, 17713

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35408 and 35426. The biggest common factor number is the GCF number.
So the greatest common factor 35408 and 35426 is 2.

Also check out the Least Common Multiple of 35408 and 35426