What is the Greatest Common Factor of 93603 and 93618?

Greatest common factor (GCF) of 93603 and 93618 is 3.

GCF(93603,93618) = 3

We will now calculate the prime factors of 93603 and 93618, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93603 and 93618.

How to find the GCF of 93603 and 93618?

We will first find the prime factorization of 93603 and 93618. After we will calculate the factors of 93603 and 93618 and find the biggest common factor number .

Step-1: Prime Factorization of 93603

Prime factors of 93603 are 3, 41, 761. Prime factorization of 93603 in exponential form is:

93603 = 3¹ × 41¹ × 761¹

Step-2: Prime Factorization of 93618

Prime factors of 93618 are 2, 3, 7, 743. Prime factorization of 93618 in exponential form is:

93618 = 2¹ × 3² × 7¹ × 743¹

Step-3: Factors of 93603

List of positive integer factors of 93603 that divides 93603 without a remainder.

1, 3, 41, 123, 761, 2283, 31201

Step-4: Factors of 93618

List of positive integer factors of 93618 that divides 93603 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126, 743, 1486, 2229, 4458, 5201, 6687, 10402, 13374, 15603, 31206, 46809

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93603 and 93618. The biggest common factor number is the GCF number.
So the greatest common factor 93603 and 93618 is 3.

Also check out the Least Common Multiple of 93603 and 93618