What is the Greatest Common Factor of 77384 and 77401?

Greatest common factor (GCF) of 77384 and 77401 is 17.

GCF(77384,77401) = 17

We will now calculate the prime factors of 77384 and 77401, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77384 and 77401.

How to find the GCF of 77384 and 77401?

We will first find the prime factorization of 77384 and 77401. After we will calculate the factors of 77384 and 77401 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 77401

Prime factors of 77401 are 17, 29, 157. Prime factorization of 77401 in exponential form is:

77401 = 17¹ × 29¹ × 157¹

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 77401

List of positive integer factors of 77401 that divides 77384 without a remainder.

1, 17, 29, 157, 493, 2669, 4553

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77384 and 77401. The biggest common factor number is the GCF number.
So the greatest common factor 77384 and 77401 is 17.

Also check out the Least Common Multiple of 77384 and 77401