What is the Greatest Common Factor of 4536 and 4550?

Greatest common factor (GCF) of 4536 and 4550 is 14.

GCF(4536,4550) = 14

We will now calculate the prime factors of 4536 and 4550, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4536 and 4550.

How to find the GCF of 4536 and 4550?

We will first find the prime factorization of 4536 and 4550. After we will calculate the factors of 4536 and 4550 and find the biggest common factor number .

Step-1: Prime Factorization of 4536

Prime factors of 4536 are 2, 3, 7. Prime factorization of 4536 in exponential form is:

4536 = 2³ × 3⁴ × 7¹

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 4536

List of positive integer factors of 4536 that divides 4536 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 27, 28, 36, 42, 54, 56, 63, 72, 81, 84, 108, 126, 162, 168, 189, 216, 252, 324, 378, 504, 567, 648, 756, 1134, 1512, 2268

Step-4: Factors of 4550

List of positive integer factors of 4550 that divides 4536 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 4536 and 4550. The biggest common factor number is the GCF number.
So the greatest common factor 4536 and 4550 is 14.

Also check out the Least Common Multiple of 4536 and 4550