What is the Greatest Common Factor of 65748 and 65766?

Greatest common factor (GCF) of 65748 and 65766 is 6.

GCF(65748,65766) = 6

We will now calculate the prime factors of 65748 and 65766, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65748 and 65766.

How to find the GCF of 65748 and 65766?

We will first find the prime factorization of 65748 and 65766. After we will calculate the factors of 65748 and 65766 and find the biggest common factor number .

Step-1: Prime Factorization of 65748

Prime factors of 65748 are 2, 3, 5479. Prime factorization of 65748 in exponential form is:

65748 = 2² × 3¹ × 5479¹

Step-2: Prime Factorization of 65766

Prime factors of 65766 are 2, 3, 97, 113. Prime factorization of 65766 in exponential form is:

65766 = 2¹ × 3¹ × 97¹ × 113¹

Step-3: Factors of 65748

List of positive integer factors of 65748 that divides 65748 without a remainder.

1, 2, 3, 4, 6, 12, 5479, 10958, 16437, 21916, 32874

Step-4: Factors of 65766

List of positive integer factors of 65766 that divides 65748 without a remainder.

1, 2, 3, 6, 97, 113, 194, 226, 291, 339, 582, 678, 10961, 21922, 32883

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65748 and 65766. The biggest common factor number is the GCF number.
So the greatest common factor 65748 and 65766 is 6.

Also check out the Least Common Multiple of 65748 and 65766