What is the Greatest Common Factor of 77404 and 77409?

Greatest common factor (GCF) of 77404 and 77409 is 1.

GCF(77404,77409) = 1

We will now calculate the prime factors of 77404 and 77409, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77404 and 77409.

How to find the GCF of 77404 and 77409?

We will first find the prime factorization of 77404 and 77409. After we will calculate the factors of 77404 and 77409 and find the biggest common factor number .

Step-1: Prime Factorization of 77404

Prime factors of 77404 are 2, 37, 523. Prime factorization of 77404 in exponential form is:

77404 = 2² × 37¹ × 523¹

Step-2: Prime Factorization of 77409

Prime factors of 77409 are 3, 47, 61. Prime factorization of 77409 in exponential form is:

77409 = 3³ × 47¹ × 61¹

Step-3: Factors of 77404

List of positive integer factors of 77404 that divides 77404 without a remainder.

1, 2, 4, 37, 74, 148, 523, 1046, 2092, 19351, 38702

Step-4: Factors of 77409

List of positive integer factors of 77409 that divides 77404 without a remainder.

1, 3, 9, 27, 47, 61, 141, 183, 423, 549, 1269, 1647, 2867, 8601, 25803

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77404 and 77409. The biggest common factor number is the GCF number.
So the greatest common factor 77404 and 77409 is 1.

Also check out the Least Common Multiple of 77404 and 77409