What is the Greatest Common Factor of 45617 and 45628?

Greatest common factor (GCF) of 45617 and 45628 is 11.

GCF(45617,45628) = 11

We will now calculate the prime factors of 45617 and 45628, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45617 and 45628.

How to find the GCF of 45617 and 45628?

We will first find the prime factorization of 45617 and 45628. After we will calculate the factors of 45617 and 45628 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 45628

Prime factors of 45628 are 2, 11, 17, 61. Prime factorization of 45628 in exponential form is:

45628 = 2² × 11¹ × 17¹ × 61¹

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 45628

List of positive integer factors of 45628 that divides 45617 without a remainder.

1, 2, 4, 11, 17, 22, 34, 44, 61, 68, 122, 187, 244, 374, 671, 748, 1037, 1342, 2074, 2684, 4148, 11407, 22814

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45617 and 45628. The biggest common factor number is the GCF number.
So the greatest common factor 45617 and 45628 is 11.

Also check out the Least Common Multiple of 45617 and 45628