What is the Greatest Common Factor of 66535 and 66550?

Greatest common factor (GCF) of 66535 and 66550 is 5.

GCF(66535,66550) = 5

We will now calculate the prime factors of 66535 and 66550, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66535 and 66550.

How to find the GCF of 66535 and 66550?

We will first find the prime factorization of 66535 and 66550. After we will calculate the factors of 66535 and 66550 and find the biggest common factor number .

Step-1: Prime Factorization of 66535

Prime factors of 66535 are 5, 7, 1901. Prime factorization of 66535 in exponential form is:

66535 = 5¹ × 7¹ × 1901¹

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 66535

List of positive integer factors of 66535 that divides 66535 without a remainder.

1, 5, 7, 35, 1901, 9505, 13307

Step-4: Factors of 66550

List of positive integer factors of 66550 that divides 66535 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 66535 and 66550. The biggest common factor number is the GCF number.
So the greatest common factor 66535 and 66550 is 5.

Also check out the Least Common Multiple of 66535 and 66550