What is the Greatest Common Factor of 76743 and 76758?

Greatest common factor (GCF) of 76743 and 76758 is 3.

GCF(76743,76758) = 3

We will now calculate the prime factors of 76743 and 76758, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76743 and 76758.

How to find the GCF of 76743 and 76758?

We will first find the prime factorization of 76743 and 76758. After we will calculate the factors of 76743 and 76758 and find the biggest common factor number .

Step-1: Prime Factorization of 76743

Prime factors of 76743 are 3, 8527. Prime factorization of 76743 in exponential form is:

76743 = 3² × 8527¹

Step-2: Prime Factorization of 76758

Prime factors of 76758 are 2, 3, 11, 1163. Prime factorization of 76758 in exponential form is:

76758 = 2¹ × 3¹ × 11¹ × 1163¹

Step-3: Factors of 76743

List of positive integer factors of 76743 that divides 76743 without a remainder.

1, 3, 9, 8527, 25581

Step-4: Factors of 76758

List of positive integer factors of 76758 that divides 76743 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 1163, 2326, 3489, 6978, 12793, 25586, 38379

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76743 and 76758. The biggest common factor number is the GCF number.
So the greatest common factor 76743 and 76758 is 3.

Also check out the Least Common Multiple of 76743 and 76758