What is the Greatest Common Factor of 66535 and 66549?

Greatest common factor (GCF) of 66535 and 66549 is 7.

GCF(66535,66549) = 7

We will now calculate the prime factors of 66535 and 66549, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66535 and 66549.

How to find the GCF of 66535 and 66549?

We will first find the prime factorization of 66535 and 66549. After we will calculate the factors of 66535 and 66549 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 66549

Prime factors of 66549 are 3, 7, 3169. Prime factorization of 66549 in exponential form is:

66549 = 3¹ × 7¹ × 3169¹

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 66549

List of positive integer factors of 66549 that divides 66535 without a remainder.

1, 3, 7, 21, 3169, 9507, 22183

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66535 and 66549. The biggest common factor number is the GCF number.
So the greatest common factor 66535 and 66549 is 7.

Also check out the Least Common Multiple of 66535 and 66549