What is the Greatest Common Factor of 35344 and 35348?

Greatest common factor (GCF) of 35344 and 35348 is 4.

GCF(35344,35348) = 4

We will now calculate the prime factors of 35344 and 35348, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35344 and 35348.

How to find the GCF of 35344 and 35348?

We will first find the prime factorization of 35344 and 35348. After we will calculate the factors of 35344 and 35348 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 35348

Prime factors of 35348 are 2, 8837. Prime factorization of 35348 in exponential form is:

35348 = 2² × 8837¹

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 35348

List of positive integer factors of 35348 that divides 35344 without a remainder.

1, 2, 4, 8837, 17674

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35344 and 35348. The biggest common factor number is the GCF number.
So the greatest common factor 35344 and 35348 is 4.

Also check out the Least Common Multiple of 35344 and 35348