What is the Greatest Common Factor of 28613 and 28631?

Greatest common factor (GCF) of 28613 and 28631 is 1.

GCF(28613,28631) = 1

We will now calculate the prime factors of 28613 and 28631, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28613 and 28631.

How to find the GCF of 28613 and 28631?

We will first find the prime factorization of 28613 and 28631. After we will calculate the factors of 28613 and 28631 and find the biggest common factor number .

Step-1: Prime Factorization of 28613

Prime factors of 28613 are 13, 31, 71. Prime factorization of 28613 in exponential form is:

28613 = 13¹ × 31¹ × 71¹

Step-2: Prime Factorization of 28631

Prime factors of 28631 are 28631. Prime factorization of 28631 in exponential form is:

28631 = 28631¹

Step-3: Factors of 28613

List of positive integer factors of 28613 that divides 28613 without a remainder.

1, 13, 31, 71, 403, 923, 2201

Step-4: Factors of 28631

List of positive integer factors of 28631 that divides 28613 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28613 and 28631. The biggest common factor number is the GCF number.
So the greatest common factor 28613 and 28631 is 1.

Also check out the Least Common Multiple of 28613 and 28631