What is the Greatest Common Factor of 66521 and 66535?

Greatest common factor (GCF) of 66521 and 66535 is 7.

GCF(66521,66535) = 7

We will now calculate the prime factors of 66521 and 66535, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66521 and 66535.

How to find the GCF of 66521 and 66535?

We will first find the prime factorization of 66521 and 66535. After we will calculate the factors of 66521 and 66535 and find the biggest common factor number .

Step-1: Prime Factorization of 66521

Prime factors of 66521 are 7, 13, 17, 43. Prime factorization of 66521 in exponential form is:

66521 = 7¹ × 13¹ × 17¹ × 43¹

Step-2: 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-3: Factors of 66521

List of positive integer factors of 66521 that divides 66521 without a remainder.

1, 7, 13, 17, 43, 91, 119, 221, 301, 559, 731, 1547, 3913, 5117, 9503

Step-4: Factors of 66535

List of positive integer factors of 66535 that divides 66521 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66521 and 66535. The biggest common factor number is the GCF number.
So the greatest common factor 66521 and 66535 is 7.

Also check out the Least Common Multiple of 66521 and 66535