What is the Greatest Common Factor of 35344 and 35354?

Greatest common factor (GCF) of 35344 and 35354 is 2.

GCF(35344,35354) = 2

We will now calculate the prime factors of 35344 and 35354, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35344 and 35354.

How to find the GCF of 35344 and 35354?

We will first find the prime factorization of 35344 and 35354. After we will calculate the factors of 35344 and 35354 and find the biggest common factor number .

Step-1: Prime Factorization of 35344

Prime factors of 35344 are 2, 47. Prime factorization of 35344 in exponential form is:

35344 = 2⁴ × 47²

Step-2: Prime Factorization of 35354

Prime factors of 35354 are 2, 11, 1607. Prime factorization of 35354 in exponential form is:

35354 = 2¹ × 11¹ × 1607¹

Step-3: Factors of 35344

List of positive integer factors of 35344 that divides 35344 without a remainder.

1, 2, 4, 8, 16, 47, 94, 188, 376, 752, 2209, 4418, 8836, 17672

Step-4: Factors of 35354

List of positive integer factors of 35354 that divides 35344 without a remainder.

1, 2, 11, 22, 1607, 3214, 17677

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35344 and 35354. The biggest common factor number is the GCF number.
So the greatest common factor 35344 and 35354 is 2.

Also check out the Least Common Multiple of 35344 and 35354