What is the Greatest Common Factor of 28623 and 28629?

Greatest common factor (GCF) of 28623 and 28629 is 3.

GCF(28623,28629) = 3

We will now calculate the prime factors of 28623 and 28629, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28623 and 28629.

How to find the GCF of 28623 and 28629?

We will first find the prime factorization of 28623 and 28629. After we will calculate the factors of 28623 and 28629 and find the biggest common factor number .

Step-1: Prime Factorization of 28623

Prime factors of 28623 are 3, 7, 29, 47. Prime factorization of 28623 in exponential form is:

28623 = 3¹ × 7¹ × 29¹ × 47¹

Step-2: Prime Factorization of 28629

Prime factors of 28629 are 3, 3181. Prime factorization of 28629 in exponential form is:

28629 = 3² × 3181¹

Step-3: Factors of 28623

List of positive integer factors of 28623 that divides 28623 without a remainder.

1, 3, 7, 21, 29, 47, 87, 141, 203, 329, 609, 987, 1363, 4089, 9541

Step-4: Factors of 28629

List of positive integer factors of 28629 that divides 28623 without a remainder.

1, 3, 9, 3181, 9543

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28623 and 28629. The biggest common factor number is the GCF number.
So the greatest common factor 28623 and 28629 is 3.

Also check out the Least Common Multiple of 28623 and 28629