What is the Greatest Common Factor of 77331 and 77349?

Greatest common factor (GCF) of 77331 and 77349 is 3.

GCF(77331,77349) = 3

We will now calculate the prime factors of 77331 and 77349, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77331 and 77349.

How to find the GCF of 77331 and 77349?

We will first find the prime factorization of 77331 and 77349. After we will calculate the factors of 77331 and 77349 and find the biggest common factor number .

Step-1: Prime Factorization of 77331

Prime factors of 77331 are 3, 149, 173. Prime factorization of 77331 in exponential form is:

77331 = 3¹ × 149¹ × 173¹

Step-2: Prime Factorization of 77349

Prime factors of 77349 are 3, 19, 23, 59. Prime factorization of 77349 in exponential form is:

77349 = 3¹ × 19¹ × 23¹ × 59¹

Step-3: Factors of 77331

List of positive integer factors of 77331 that divides 77331 without a remainder.

1, 3, 149, 173, 447, 519, 25777

Step-4: Factors of 77349

List of positive integer factors of 77349 that divides 77331 without a remainder.

1, 3, 19, 23, 57, 59, 69, 177, 437, 1121, 1311, 1357, 3363, 4071, 25783

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77331 and 77349. The biggest common factor number is the GCF number.
So the greatest common factor 77331 and 77349 is 3.

Also check out the Least Common Multiple of 77331 and 77349