What is the Greatest Common Factor of 65769 and 65781?

Greatest common factor (GCF) of 65769 and 65781 is 3.

GCF(65769,65781) = 3

We will now calculate the prime factors of 65769 and 65781, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65769 and 65781.

How to find the GCF of 65769 and 65781?

We will first find the prime factorization of 65769 and 65781. After we will calculate the factors of 65769 and 65781 and find the biggest common factor number .

Step-1: Prime Factorization of 65769

Prime factors of 65769 are 3, 11, 1993. Prime factorization of 65769 in exponential form is:

65769 = 3¹ × 11¹ × 1993¹

Step-2: Prime Factorization of 65781

Prime factors of 65781 are 3, 7309. Prime factorization of 65781 in exponential form is:

65781 = 3² × 7309¹

Step-3: Factors of 65769

List of positive integer factors of 65769 that divides 65769 without a remainder.

1, 3, 11, 33, 1993, 5979, 21923

Step-4: Factors of 65781

List of positive integer factors of 65781 that divides 65769 without a remainder.

1, 3, 9, 7309, 21927

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65769 and 65781. The biggest common factor number is the GCF number.
So the greatest common factor 65769 and 65781 is 3.

Also check out the Least Common Multiple of 65769 and 65781