What is the Greatest Common Factor of 35608 and 35618?

Greatest common factor (GCF) of 35608 and 35618 is 2.

GCF(35608,35618) = 2

We will now calculate the prime factors of 35608 and 35618, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35608 and 35618.

How to find the GCF of 35608 and 35618?

We will first find the prime factorization of 35608 and 35618. After we will calculate the factors of 35608 and 35618 and find the biggest common factor number .

Step-1: Prime Factorization of 35608

Prime factors of 35608 are 2, 4451. Prime factorization of 35608 in exponential form is:

35608 = 2³ × 4451¹

Step-2: Prime Factorization of 35618

Prime factors of 35618 are 2, 11, 1619. Prime factorization of 35618 in exponential form is:

35618 = 2¹ × 11¹ × 1619¹

Step-3: Factors of 35608

List of positive integer factors of 35608 that divides 35608 without a remainder.

1, 2, 4, 8, 4451, 8902, 17804

Step-4: Factors of 35618

List of positive integer factors of 35618 that divides 35608 without a remainder.

1, 2, 11, 22, 1619, 3238, 17809

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35608 and 35618. The biggest common factor number is the GCF number.
So the greatest common factor 35608 and 35618 is 2.

Also check out the Least Common Multiple of 35608 and 35618