What is the Greatest Common Factor of 77384 and 77398?

Greatest common factor (GCF) of 77384 and 77398 is 2.

GCF(77384,77398) = 2

We will now calculate the prime factors of 77384 and 77398, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77384 and 77398.

How to find the GCF of 77384 and 77398?

We will first find the prime factorization of 77384 and 77398. After we will calculate the factors of 77384 and 77398 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 77398

Prime factors of 77398 are 2, 38699. Prime factorization of 77398 in exponential form is:

77398 = 2¹ × 38699¹

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 77398

List of positive integer factors of 77398 that divides 77384 without a remainder.

1, 2, 38699

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77384 and 77398. The biggest common factor number is the GCF number.
So the greatest common factor 77384 and 77398 is 2.

Also check out the Least Common Multiple of 77384 and 77398