What is the Greatest Common Factor of 77754 and 77769?

Greatest common factor (GCF) of 77754 and 77769 is 3.

GCF(77754,77769) = 3

We will now calculate the prime factors of 77754 and 77769, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77754 and 77769.

How to find the GCF of 77754 and 77769?

We will first find the prime factorization of 77754 and 77769. After we will calculate the factors of 77754 and 77769 and find the biggest common factor number .

Step-1: Prime Factorization of 77754

Prime factors of 77754 are 2, 3, 12959. Prime factorization of 77754 in exponential form is:

77754 = 2¹ × 3¹ × 12959¹

Step-2: Prime Factorization of 77769

Prime factors of 77769 are 3, 8641. Prime factorization of 77769 in exponential form is:

77769 = 3² × 8641¹

Step-3: Factors of 77754

List of positive integer factors of 77754 that divides 77754 without a remainder.

1, 2, 3, 6, 12959, 25918, 38877

Step-4: Factors of 77769

List of positive integer factors of 77769 that divides 77754 without a remainder.

1, 3, 9, 8641, 25923

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77754 and 77769. The biggest common factor number is the GCF number.
So the greatest common factor 77754 and 77769 is 3.

Also check out the Least Common Multiple of 77754 and 77769