What is the Greatest Common Factor of 28614 and 28633?

Greatest common factor (GCF) of 28614 and 28633 is 19.

GCF(28614,28633) = 19

We will now calculate the prime factors of 28614 and 28633, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28614 and 28633.

How to find the GCF of 28614 and 28633?

We will first find the prime factorization of 28614 and 28633. After we will calculate the factors of 28614 and 28633 and find the biggest common factor number .

Step-1: Prime Factorization of 28614

Prime factors of 28614 are 2, 3, 19, 251. Prime factorization of 28614 in exponential form is:

28614 = 2¹ × 3¹ × 19¹ × 251¹

Step-2: Prime Factorization of 28633

Prime factors of 28633 are 11, 19, 137. Prime factorization of 28633 in exponential form is:

28633 = 11¹ × 19¹ × 137¹

Step-3: Factors of 28614

List of positive integer factors of 28614 that divides 28614 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114, 251, 502, 753, 1506, 4769, 9538, 14307

Step-4: Factors of 28633

List of positive integer factors of 28633 that divides 28614 without a remainder.

1, 11, 19, 137, 209, 1507, 2603

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28614 and 28633. The biggest common factor number is the GCF number.
So the greatest common factor 28614 and 28633 is 19.

Also check out the Least Common Multiple of 28614 and 28633