What is the Greatest Common Factor of 38608 and 38618?

Greatest common factor (GCF) of 38608 and 38618 is 2.

GCF(38608,38618) = 2

We will now calculate the prime factors of 38608 and 38618, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38608 and 38618.

How to find the GCF of 38608 and 38618?

We will first find the prime factorization of 38608 and 38618. After we will calculate the factors of 38608 and 38618 and find the biggest common factor number .

Step-1: Prime Factorization of 38608

Prime factors of 38608 are 2, 19, 127. Prime factorization of 38608 in exponential form is:

38608 = 2⁴ × 19¹ × 127¹

Step-2: Prime Factorization of 38618

Prime factors of 38618 are 2, 19309. Prime factorization of 38618 in exponential form is:

38618 = 2¹ × 19309¹

Step-3: Factors of 38608

List of positive integer factors of 38608 that divides 38608 without a remainder.

1, 2, 4, 8, 16, 19, 38, 76, 127, 152, 254, 304, 508, 1016, 2032, 2413, 4826, 9652, 19304

Step-4: Factors of 38618

List of positive integer factors of 38618 that divides 38608 without a remainder.

1, 2, 19309

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38608 and 38618. The biggest common factor number is the GCF number.
So the greatest common factor 38608 and 38618 is 2.

Also check out the Least Common Multiple of 38608 and 38618