What is the Greatest Common Factor of 4550 and 4561?

Greatest common factor (GCF) of 4550 and 4561 is 1.

GCF(4550,4561) = 1

We will now calculate the prime factors of 4550 and 4561, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4550 and 4561.

How to find the GCF of 4550 and 4561?

We will first find the prime factorization of 4550 and 4561. After we will calculate the factors of 4550 and 4561 and find the biggest common factor number .

Step-1: Prime Factorization of 4550

Prime factors of 4550 are 2, 5, 7, 13. Prime factorization of 4550 in exponential form is:

4550 = 2¹ × 5² × 7¹ × 13¹

Step-2: Prime Factorization of 4561

Prime factors of 4561 are 4561. Prime factorization of 4561 in exponential form is:

4561 = 4561¹

Step-3: Factors of 4550

List of positive integer factors of 4550 that divides 4550 without a remainder.

1, 2, 5, 7, 10, 13, 14, 25, 26, 35, 50, 65, 70, 91, 130, 175, 182, 325, 350, 455, 650, 910, 2275

Step-4: Factors of 4561

List of positive integer factors of 4561 that divides 4550 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4550 and 4561. The biggest common factor number is the GCF number.
So the greatest common factor 4550 and 4561 is 1.

Also check out the Least Common Multiple of 4550 and 4561