What is the Greatest Common Factor of 77658 and 77669?

Greatest common factor (GCF) of 77658 and 77669 is 1.

GCF(77658,77669) = 1

We will now calculate the prime factors of 77658 and 77669, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77658 and 77669.

How to find the GCF of 77658 and 77669?

We will first find the prime factorization of 77658 and 77669. After we will calculate the factors of 77658 and 77669 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 77669

Prime factors of 77669 are 101, 769. Prime factorization of 77669 in exponential form is:

77669 = 101¹ × 769¹

Step-3: Factors of 77658

List of positive integer factors of 77658 that divides 77658 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

Step-4: Factors of 77669

List of positive integer factors of 77669 that divides 77658 without a remainder.

1, 101, 769

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77658 and 77669. The biggest common factor number is the GCF number.
So the greatest common factor 77658 and 77669 is 1.

Also check out the Least Common Multiple of 77658 and 77669