What is the Greatest Common Factor of 66539 and 66550?

Greatest common factor (GCF) of 66539 and 66550 is 11.

GCF(66539,66550) = 11

We will now calculate the prime factors of 66539 and 66550, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66539 and 66550.

How to find the GCF of 66539 and 66550?

We will first find the prime factorization of 66539 and 66550. After we will calculate the factors of 66539 and 66550 and find the biggest common factor number .

Step-1: Prime Factorization of 66539

Prime factors of 66539 are 11, 23, 263. Prime factorization of 66539 in exponential form is:

66539 = 11¹ × 23¹ × 263¹

Step-2: Prime Factorization of 66550

Prime factors of 66550 are 2, 5, 11. Prime factorization of 66550 in exponential form is:

66550 = 2¹ × 5² × 11³

Step-3: Factors of 66539

List of positive integer factors of 66539 that divides 66539 without a remainder.

1, 11, 23, 253, 263, 2893, 6049

Step-4: Factors of 66550

List of positive integer factors of 66550 that divides 66539 without a remainder.

1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 121, 242, 275, 550, 605, 1210, 1331, 2662, 3025, 6050, 6655, 13310, 33275

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66539 and 66550. The biggest common factor number is the GCF number.
So the greatest common factor 66539 and 66550 is 11.

Also check out the Least Common Multiple of 66539 and 66550