What is the Greatest Common Factor of 65541 and 65559?

Greatest common factor (GCF) of 65541 and 65559 is 3.

GCF(65541,65559) = 3

We will now calculate the prime factors of 65541 and 65559, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65541 and 65559.

How to find the GCF of 65541 and 65559?

We will first find the prime factorization of 65541 and 65559. After we will calculate the factors of 65541 and 65559 and find the biggest common factor number .

Step-1: Prime Factorization of 65541

Prime factors of 65541 are 3, 7, 3121. Prime factorization of 65541 in exponential form is:

65541 = 3¹ × 7¹ × 3121¹

Step-2: Prime Factorization of 65559

Prime factors of 65559 are 3, 13, 41. Prime factorization of 65559 in exponential form is:

65559 = 3¹ × 13¹ × 41²

Step-3: Factors of 65541

List of positive integer factors of 65541 that divides 65541 without a remainder.

1, 3, 7, 21, 3121, 9363, 21847

Step-4: Factors of 65559

List of positive integer factors of 65559 that divides 65541 without a remainder.

1, 3, 13, 39, 41, 123, 533, 1599, 1681, 5043, 21853

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65541 and 65559. The biggest common factor number is the GCF number.
So the greatest common factor 65541 and 65559 is 3.

Also check out the Least Common Multiple of 65541 and 65559