What is the Greatest Common Factor of 75618 and 75624?

Greatest common factor (GCF) of 75618 and 75624 is 6.

GCF(75618,75624) = 6

We will now calculate the prime factors of 75618 and 75624, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75618 and 75624.

How to find the GCF of 75618 and 75624?

We will first find the prime factorization of 75618 and 75624. After we will calculate the factors of 75618 and 75624 and find the biggest common factor number .

Step-1: Prime Factorization of 75618

Prime factors of 75618 are 2, 3, 4201. Prime factorization of 75618 in exponential form is:

75618 = 2¹ × 3² × 4201¹

Step-2: Prime Factorization of 75624

Prime factors of 75624 are 2, 3, 23, 137. Prime factorization of 75624 in exponential form is:

75624 = 2³ × 3¹ × 23¹ × 137¹

Step-3: Factors of 75618

List of positive integer factors of 75618 that divides 75618 without a remainder.

1, 2, 3, 6, 9, 18, 4201, 8402, 12603, 25206, 37809

Step-4: Factors of 75624

List of positive integer factors of 75624 that divides 75618 without a remainder.

1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 137, 138, 184, 274, 276, 411, 548, 552, 822, 1096, 1644, 3151, 3288, 6302, 9453, 12604, 18906, 25208, 37812

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75618 and 75624. The biggest common factor number is the GCF number.
So the greatest common factor 75618 and 75624 is 6.

Also check out the Least Common Multiple of 75618 and 75624