What is the Greatest Common Factor of 77349 and 77367?

Greatest common factor (GCF) of 77349 and 77367 is 3.

GCF(77349,77367) = 3

We will now calculate the prime factors of 77349 and 77367, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77349 and 77367.

How to find the GCF of 77349 and 77367?

We will first find the prime factorization of 77349 and 77367. After we will calculate the factors of 77349 and 77367 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 77367

Prime factors of 77367 are 3, 17, 37, 41. Prime factorization of 77367 in exponential form is:

77367 = 3¹ × 17¹ × 37¹ × 41¹

Step-3: Factors of 77349

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

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

Step-4: Factors of 77367

List of positive integer factors of 77367 that divides 77349 without a remainder.

1, 3, 17, 37, 41, 51, 111, 123, 629, 697, 1517, 1887, 2091, 4551, 25789

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77349 and 77367. The biggest common factor number is the GCF number.
So the greatest common factor 77349 and 77367 is 3.

Also check out the Least Common Multiple of 77349 and 77367