What is the Greatest Common Factor of 28641 and 28658?

Greatest common factor (GCF) of 28641 and 28658 is 1.

GCF(28641,28658) = 1

We will now calculate the prime factors of 28641 and 28658, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28641 and 28658.

How to find the GCF of 28641 and 28658?

We will first find the prime factorization of 28641 and 28658. After we will calculate the factors of 28641 and 28658 and find the biggest common factor number .

Step-1: Prime Factorization of 28641

Prime factors of 28641 are 3, 9547. Prime factorization of 28641 in exponential form is:

28641 = 3¹ × 9547¹

Step-2: 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-3: Factors of 28641

List of positive integer factors of 28641 that divides 28641 without a remainder.

1, 3, 9547

Step-4: Factors of 28658

List of positive integer factors of 28658 that divides 28641 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28641 and 28658. The biggest common factor number is the GCF number.
So the greatest common factor 28641 and 28658 is 1.

Also check out the Least Common Multiple of 28641 and 28658