What is the Greatest Common Factor of 77389 and 77408?

Greatest common factor (GCF) of 77389 and 77408 is 1.

GCF(77389,77408) = 1

We will now calculate the prime factors of 77389 and 77408, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77389 and 77408.

How to find the GCF of 77389 and 77408?

We will first find the prime factorization of 77389 and 77408. After we will calculate the factors of 77389 and 77408 and find the biggest common factor number .

Step-1: Prime Factorization of 77389

Prime factors of 77389 are 13, 5953. Prime factorization of 77389 in exponential form is:

77389 = 13¹ × 5953¹

Step-2: Prime Factorization of 77408

Prime factors of 77408 are 2, 41, 59. Prime factorization of 77408 in exponential form is:

77408 = 2⁵ × 41¹ × 59¹

Step-3: Factors of 77389

List of positive integer factors of 77389 that divides 77389 without a remainder.

1, 13, 5953

Step-4: Factors of 77408

List of positive integer factors of 77408 that divides 77389 without a remainder.

1, 2, 4, 8, 16, 32, 41, 59, 82, 118, 164, 236, 328, 472, 656, 944, 1312, 1888, 2419, 4838, 9676, 19352, 38704

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77389 and 77408. The biggest common factor number is the GCF number.
So the greatest common factor 77389 and 77408 is 1.

Also check out the Least Common Multiple of 77389 and 77408