What is the Greatest Common Factor of 65754 and 65769?

Greatest common factor (GCF) of 65754 and 65769 is 3.

GCF(65754,65769) = 3

We will now calculate the prime factors of 65754 and 65769, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65754 and 65769.

How to find the GCF of 65754 and 65769?

We will first find the prime factorization of 65754 and 65769. After we will calculate the factors of 65754 and 65769 and find the biggest common factor number .

Step-1: Prime Factorization of 65754

Prime factors of 65754 are 2, 3, 13, 281. Prime factorization of 65754 in exponential form is:

65754 = 2¹ × 3² × 13¹ × 281¹

Step-2: 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-3: Factors of 65754

List of positive integer factors of 65754 that divides 65754 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234, 281, 562, 843, 1686, 2529, 3653, 5058, 7306, 10959, 21918, 32877

Step-4: Factors of 65769

List of positive integer factors of 65769 that divides 65754 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65754 and 65769. The biggest common factor number is the GCF number.
So the greatest common factor 65754 and 65769 is 3.

Also check out the Least Common Multiple of 65754 and 65769