What is the Greatest Common Factor of 65643 and 65661?

Greatest common factor (GCF) of 65643 and 65661 is 3.

GCF(65643,65661) = 3

We will now calculate the prime factors of 65643 and 65661, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65643 and 65661.

How to find the GCF of 65643 and 65661?

We will first find the prime factorization of 65643 and 65661. After we will calculate the factors of 65643 and 65661 and find the biggest common factor number .

Step-1: Prime Factorization of 65643

Prime factors of 65643 are 3, 21881. Prime factorization of 65643 in exponential form is:

65643 = 3¹ × 21881¹

Step-2: Prime Factorization of 65661

Prime factors of 65661 are 3, 43, 509. Prime factorization of 65661 in exponential form is:

65661 = 3¹ × 43¹ × 509¹

Step-3: Factors of 65643

List of positive integer factors of 65643 that divides 65643 without a remainder.

1, 3, 21881

Step-4: Factors of 65661

List of positive integer factors of 65661 that divides 65643 without a remainder.

1, 3, 43, 129, 509, 1527, 21887

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65643 and 65661. The biggest common factor number is the GCF number.
So the greatest common factor 65643 and 65661 is 3.

Also check out the Least Common Multiple of 65643 and 65661