What is the Greatest Common Factor of 5618 and 5624?

Greatest common factor (GCF) of 5618 and 5624 is 2.

GCF(5618,5624) = 2

We will now calculate the prime factors of 5618 and 5624, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5618 and 5624.

How to find the GCF of 5618 and 5624?

We will first find the prime factorization of 5618 and 5624. After we will calculate the factors of 5618 and 5624 and find the biggest common factor number .

Step-1: Prime Factorization of 5618

Prime factors of 5618 are 2, 53. Prime factorization of 5618 in exponential form is:

5618 = 2¹ × 53²

Step-2: Prime Factorization of 5624

Prime factors of 5624 are 2, 19, 37. Prime factorization of 5624 in exponential form is:

5624 = 2³ × 19¹ × 37¹

Step-3: Factors of 5618

List of positive integer factors of 5618 that divides 5618 without a remainder.

1, 2, 53, 106, 2809

Step-4: Factors of 5624

List of positive integer factors of 5624 that divides 5618 without a remainder.

1, 2, 4, 8, 19, 37, 38, 74, 76, 148, 152, 296, 703, 1406, 2812

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5618 and 5624. The biggest common factor number is the GCF number.
So the greatest common factor 5618 and 5624 is 2.

Also check out the Least Common Multiple of 5618 and 5624