What is the Greatest Common Factor of 65541 and 65548?

Greatest common factor (GCF) of 65541 and 65548 is 7.

GCF(65541,65548) = 7

We will now calculate the prime factors of 65541 and 65548, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65541 and 65548.

How to find the GCF of 65541 and 65548?

We will first find the prime factorization of 65541 and 65548. After we will calculate the factors of 65541 and 65548 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 65548

Prime factors of 65548 are 2, 7, 2341. Prime factorization of 65548 in exponential form is:

65548 = 2² × 7¹ × 2341¹

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 65548

List of positive integer factors of 65548 that divides 65541 without a remainder.

1, 2, 4, 7, 14, 28, 2341, 4682, 9364, 16387, 32774

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65541 and 65548. The biggest common factor number is the GCF number.
So the greatest common factor 65541 and 65548 is 7.

Also check out the Least Common Multiple of 65541 and 65548