What is the Greatest Common Factor of 63604 and 63618?

Greatest common factor (GCF) of 63604 and 63618 is 2.

GCF(63604,63618) = 2

We will now calculate the prime factors of 63604 and 63618, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63604 and 63618.

How to find the GCF of 63604 and 63618?

We will first find the prime factorization of 63604 and 63618. After we will calculate the factors of 63604 and 63618 and find the biggest common factor number .

Step-1: Prime Factorization of 63604

Prime factors of 63604 are 2, 15901. Prime factorization of 63604 in exponential form is:

63604 = 2² × 15901¹

Step-2: Prime Factorization of 63618

Prime factors of 63618 are 2, 3, 23, 461. Prime factorization of 63618 in exponential form is:

63618 = 2¹ × 3¹ × 23¹ × 461¹

Step-3: Factors of 63604

List of positive integer factors of 63604 that divides 63604 without a remainder.

1, 2, 4, 15901, 31802

Step-4: Factors of 63618

List of positive integer factors of 63618 that divides 63604 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138, 461, 922, 1383, 2766, 10603, 21206, 31809

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63604 and 63618. The biggest common factor number is the GCF number.
So the greatest common factor 63604 and 63618 is 2.

Also check out the Least Common Multiple of 63604 and 63618