What is the Greatest Common Factor of 77384 and 77399?

Greatest common factor (GCF) of 77384 and 77399 is 1.

GCF(77384,77399) = 1

We will now calculate the prime factors of 77384 and 77399, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77384 and 77399.

How to find the GCF of 77384 and 77399?

We will first find the prime factorization of 77384 and 77399. After we will calculate the factors of 77384 and 77399 and find the biggest common factor number .

Step-1: Prime Factorization of 77384

Prime factors of 77384 are 2, 17, 569. Prime factorization of 77384 in exponential form is:

77384 = 2³ × 17¹ × 569¹

Step-2: Prime Factorization of 77399

Prime factors of 77399 are 7, 11057. Prime factorization of 77399 in exponential form is:

77399 = 7¹ × 11057¹

Step-3: Factors of 77384

List of positive integer factors of 77384 that divides 77384 without a remainder.

1, 2, 4, 8, 17, 34, 68, 136, 569, 1138, 2276, 4552, 9673, 19346, 38692

Step-4: Factors of 77399

List of positive integer factors of 77399 that divides 77384 without a remainder.

1, 7, 11057

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77384 and 77399. The biggest common factor number is the GCF number.
So the greatest common factor 77384 and 77399 is 1.

Also check out the Least Common Multiple of 77384 and 77399