What is the Greatest Common Factor of 45556 and 45563?

Greatest common factor (GCF) of 45556 and 45563 is 7.

GCF(45556,45563) = 7

We will now calculate the prime factors of 45556 and 45563, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45556 and 45563.

How to find the GCF of 45556 and 45563?

We will first find the prime factorization of 45556 and 45563. After we will calculate the factors of 45556 and 45563 and find the biggest common factor number .

Step-1: Prime Factorization of 45556

Prime factors of 45556 are 2, 7, 1627. Prime factorization of 45556 in exponential form is:

45556 = 2² × 7¹ × 1627¹

Step-2: Prime Factorization of 45563

Prime factors of 45563 are 7, 23, 283. Prime factorization of 45563 in exponential form is:

45563 = 7¹ × 23¹ × 283¹

Step-3: Factors of 45556

List of positive integer factors of 45556 that divides 45556 without a remainder.

1, 2, 4, 7, 14, 28, 1627, 3254, 6508, 11389, 22778

Step-4: Factors of 45563

List of positive integer factors of 45563 that divides 45556 without a remainder.

1, 7, 23, 161, 283, 1981, 6509

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45556 and 45563. The biggest common factor number is the GCF number.
So the greatest common factor 45556 and 45563 is 7.

Also check out the Least Common Multiple of 45556 and 45563