What is the Greatest Common Factor of 5624 and 5644?

Greatest common factor (GCF) of 5624 and 5644 is 4.

GCF(5624,5644) = 4

We will now calculate the prime factors of 5624 and 5644, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5624 and 5644.

How to find the GCF of 5624 and 5644?

We will first find the prime factorization of 5624 and 5644. After we will calculate the factors of 5624 and 5644 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 5644

Prime factors of 5644 are 2, 17, 83. Prime factorization of 5644 in exponential form is:

5644 = 2² × 17¹ × 83¹

Step-3: Factors of 5624

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

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

Step-4: Factors of 5644

List of positive integer factors of 5644 that divides 5624 without a remainder.

1, 2, 4, 17, 34, 68, 83, 166, 332, 1411, 2822

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5624 and 5644. The biggest common factor number is the GCF number.
So the greatest common factor 5624 and 5644 is 4.

Also check out the Least Common Multiple of 5624 and 5644