What is the Greatest Common Factor of 4535 and 4550?

Greatest common factor (GCF) of 4535 and 4550 is 5.

GCF(4535,4550) = 5

We will now calculate the prime factors of 4535 and 4550, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4535 and 4550.

How to find the GCF of 4535 and 4550?

We will first find the prime factorization of 4535 and 4550. After we will calculate the factors of 4535 and 4550 and find the biggest common factor number .

Step-1: Prime Factorization of 4535

Prime factors of 4535 are 5, 907. Prime factorization of 4535 in exponential form is:

4535 = 5¹ × 907¹

Step-2: 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-3: Factors of 4535

List of positive integer factors of 4535 that divides 4535 without a remainder.

1, 5, 907

Step-4: Factors of 4550

List of positive integer factors of 4550 that divides 4535 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4535 and 4550. The biggest common factor number is the GCF number.
So the greatest common factor 4535 and 4550 is 5.

Also check out the Least Common Multiple of 4535 and 4550