What is the Greatest Common Factor of 77643 and 77658?

Greatest common factor (GCF) of 77643 and 77658 is 3.

GCF(77643,77658) = 3

We will now calculate the prime factors of 77643 and 77658, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77643 and 77658.

How to find the GCF of 77643 and 77658?

We will first find the prime factorization of 77643 and 77658. After we will calculate the factors of 77643 and 77658 and find the biggest common factor number .

Step-1: Prime Factorization of 77643

Prime factors of 77643 are 3, 8627. Prime factorization of 77643 in exponential form is:

77643 = 3² × 8627¹

Step-2: Prime Factorization of 77658

Prime factors of 77658 are 2, 3, 7, 43. Prime factorization of 77658 in exponential form is:

77658 = 2¹ × 3¹ × 7¹ × 43²

Step-3: Factors of 77643

List of positive integer factors of 77643 that divides 77643 without a remainder.

1, 3, 9, 8627, 25881

Step-4: Factors of 77658

List of positive integer factors of 77658 that divides 77643 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 43, 86, 129, 258, 301, 602, 903, 1806, 1849, 3698, 5547, 11094, 12943, 25886, 38829

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77643 and 77658. The biggest common factor number is the GCF number.
So the greatest common factor 77643 and 77658 is 3.

Also check out the Least Common Multiple of 77643 and 77658