What is the Greatest Common Factor of 28658 and 28665?

Greatest common factor (GCF) of 28658 and 28665 is 7.

GCF(28658,28665) = 7

We will now calculate the prime factors of 28658 and 28665, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28658 and 28665.

How to find the GCF of 28658 and 28665?

We will first find the prime factorization of 28658 and 28665. After we will calculate the factors of 28658 and 28665 and find the biggest common factor number .

Step-1: Prime Factorization of 28658

Prime factors of 28658 are 2, 7, 23, 89. Prime factorization of 28658 in exponential form is:

28658 = 2¹ × 7¹ × 23¹ × 89¹

Step-2: Prime Factorization of 28665

Prime factors of 28665 are 3, 5, 7, 13. Prime factorization of 28665 in exponential form is:

28665 = 3² × 5¹ × 7² × 13¹

Step-3: Factors of 28658

List of positive integer factors of 28658 that divides 28658 without a remainder.

1, 2, 7, 14, 23, 46, 89, 161, 178, 322, 623, 1246, 2047, 4094, 14329

Step-4: Factors of 28665

List of positive integer factors of 28665 that divides 28658 without a remainder.

1, 3, 5, 7, 9, 13, 15, 21, 35, 39, 45, 49, 63, 65, 91, 105, 117, 147, 195, 245, 273, 315, 441, 455, 585, 637, 735, 819, 1365, 1911, 2205, 3185, 4095, 5733, 9555

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28658 and 28665. The biggest common factor number is the GCF number.
So the greatest common factor 28658 and 28665 is 7.

Also check out the Least Common Multiple of 28658 and 28665