What is the Greatest Common Factor of 5619 and 5628?

Greatest common factor (GCF) of 5619 and 5628 is 3.

GCF(5619,5628) = 3

We will now calculate the prime factors of 5619 and 5628, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5619 and 5628.

How to find the GCF of 5619 and 5628?

We will first find the prime factorization of 5619 and 5628. After we will calculate the factors of 5619 and 5628 and find the biggest common factor number .

Step-1: Prime Factorization of 5619

Prime factors of 5619 are 3, 1873. Prime factorization of 5619 in exponential form is:

5619 = 3¹ × 1873¹

Step-2: Prime Factorization of 5628

Prime factors of 5628 are 2, 3, 7, 67. Prime factorization of 5628 in exponential form is:

5628 = 2² × 3¹ × 7¹ × 67¹

Step-3: Factors of 5619

List of positive integer factors of 5619 that divides 5619 without a remainder.

1, 3, 1873

Step-4: Factors of 5628

List of positive integer factors of 5628 that divides 5619 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 67, 84, 134, 201, 268, 402, 469, 804, 938, 1407, 1876, 2814

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5619 and 5628. The biggest common factor number is the GCF number.
So the greatest common factor 5619 and 5628 is 3.

Also check out the Least Common Multiple of 5619 and 5628