What is the Greatest Common Factor of 45617 and 45627?

Greatest common factor (GCF) of 45617 and 45627 is 1.

GCF(45617,45627) = 1

We will now calculate the prime factors of 45617 and 45627, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45617 and 45627.

How to find the GCF of 45617 and 45627?

We will first find the prime factorization of 45617 and 45627. After we will calculate the factors of 45617 and 45627 and find the biggest common factor number .

Step-1: Prime Factorization of 45617

Prime factors of 45617 are 11, 13, 29. Prime factorization of 45617 in exponential form is:

45617 = 11² × 13¹ × 29¹

Step-2: Prime Factorization of 45627

Prime factors of 45627 are 3, 67, 227. Prime factorization of 45627 in exponential form is:

45627 = 3¹ × 67¹ × 227¹

Step-3: Factors of 45617

List of positive integer factors of 45617 that divides 45617 without a remainder.

1, 11, 13, 29, 121, 143, 319, 377, 1573, 3509, 4147

Step-4: Factors of 45627

List of positive integer factors of 45627 that divides 45617 without a remainder.

1, 3, 67, 201, 227, 681, 15209

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45617 and 45627. The biggest common factor number is the GCF number.
So the greatest common factor 45617 and 45627 is 1.

Also check out the Least Common Multiple of 45617 and 45627