What is the Greatest Common Factor of 83604 and 83618?

Greatest common factor (GCF) of 83604 and 83618 is 2.

GCF(83604,83618) = 2

We will now calculate the prime factors of 83604 and 83618, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83604 and 83618.

How to find the GCF of 83604 and 83618?

We will first find the prime factorization of 83604 and 83618. After we will calculate the factors of 83604 and 83618 and find the biggest common factor number .

Step-1: Prime Factorization of 83604

Prime factors of 83604 are 2, 3, 6967. Prime factorization of 83604 in exponential form is:

83604 = 2² × 3¹ × 6967¹

Step-2: Prime Factorization of 83618

Prime factors of 83618 are 2, 41809. Prime factorization of 83618 in exponential form is:

83618 = 2¹ × 41809¹

Step-3: Factors of 83604

List of positive integer factors of 83604 that divides 83604 without a remainder.

1, 2, 3, 4, 6, 12, 6967, 13934, 20901, 27868, 41802

Step-4: Factors of 83618

List of positive integer factors of 83618 that divides 83604 without a remainder.

1, 2, 41809

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83604 and 83618. The biggest common factor number is the GCF number.
So the greatest common factor 83604 and 83618 is 2.

Also check out the Least Common Multiple of 83604 and 83618