What is the Greatest Common Factor of 77649 and 77667?

Greatest common factor (GCF) of 77649 and 77667 is 3.

GCF(77649,77667) = 3

We will now calculate the prime factors of 77649 and 77667, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77649 and 77667.

How to find the GCF of 77649 and 77667?

We will first find the prime factorization of 77649 and 77667. After we will calculate the factors of 77649 and 77667 and find the biggest common factor number .

Step-1: Prime Factorization of 77649

Prime factors of 77649 are 3, 11, 13, 181. Prime factorization of 77649 in exponential form is:

77649 = 3¹ × 11¹ × 13¹ × 181¹

Step-2: Prime Factorization of 77667

Prime factors of 77667 are 3, 25889. Prime factorization of 77667 in exponential form is:

77667 = 3¹ × 25889¹

Step-3: Factors of 77649

List of positive integer factors of 77649 that divides 77649 without a remainder.

1, 3, 11, 13, 33, 39, 143, 181, 429, 543, 1991, 2353, 5973, 7059, 25883

Step-4: Factors of 77667

List of positive integer factors of 77667 that divides 77649 without a remainder.

1, 3, 25889

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77649 and 77667. The biggest common factor number is the GCF number.
So the greatest common factor 77649 and 77667 is 3.

Also check out the Least Common Multiple of 77649 and 77667