What is the Greatest Common Factor of 45602 and 45618?

Greatest common factor (GCF) of 45602 and 45618 is 2.

GCF(45602,45618) = 2

We will now calculate the prime factors of 45602 and 45618, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45602 and 45618.

How to find the GCF of 45602 and 45618?

We will first find the prime factorization of 45602 and 45618. After we will calculate the factors of 45602 and 45618 and find the biggest common factor number .

Step-1: Prime Factorization of 45602

Prime factors of 45602 are 2, 151. Prime factorization of 45602 in exponential form is:

45602 = 2¹ × 151²

Step-2: Prime Factorization of 45618

Prime factors of 45618 are 2, 3, 7603. Prime factorization of 45618 in exponential form is:

45618 = 2¹ × 3¹ × 7603¹

Step-3: Factors of 45602

List of positive integer factors of 45602 that divides 45602 without a remainder.

1, 2, 151, 302, 22801

Step-4: Factors of 45618

List of positive integer factors of 45618 that divides 45602 without a remainder.

1, 2, 3, 6, 7603, 15206, 22809

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45602 and 45618. The biggest common factor number is the GCF number.
So the greatest common factor 45602 and 45618 is 2.

Also check out the Least Common Multiple of 45602 and 45618