What is the Greatest Common Factor of 77673 and 77691?

Greatest common factor (GCF) of 77673 and 77691 is 3.

GCF(77673,77691) = 3

We will now calculate the prime factors of 77673 and 77691, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77673 and 77691.

How to find the GCF of 77673 and 77691?

We will first find the prime factorization of 77673 and 77691. After we will calculate the factors of 77673 and 77691 and find the biggest common factor number .

Step-1: Prime Factorization of 77673

Prime factors of 77673 are 3, 17, 1523. Prime factorization of 77673 in exponential form is:

77673 = 3¹ × 17¹ × 1523¹

Step-2: Prime Factorization of 77691

Prime factors of 77691 are 3, 19, 29, 47. Prime factorization of 77691 in exponential form is:

77691 = 3¹ × 19¹ × 29¹ × 47¹

Step-3: Factors of 77673

List of positive integer factors of 77673 that divides 77673 without a remainder.

1, 3, 17, 51, 1523, 4569, 25891

Step-4: Factors of 77691

List of positive integer factors of 77691 that divides 77673 without a remainder.

1, 3, 19, 29, 47, 57, 87, 141, 551, 893, 1363, 1653, 2679, 4089, 25897

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77673 and 77691. The biggest common factor number is the GCF number.
So the greatest common factor 77673 and 77691 is 3.

Also check out the Least Common Multiple of 77673 and 77691