What is the Greatest Common Factor of 77378 and 77384?

Greatest common factor (GCF) of 77378 and 77384 is 2.

GCF(77378,77384) = 2

We will now calculate the prime factors of 77378 and 77384, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77378 and 77384.

How to find the GCF of 77378 and 77384?

We will first find the prime factorization of 77378 and 77384. After we will calculate the factors of 77378 and 77384 and find the biggest common factor number .

Step-1: Prime Factorization of 77378

Prime factors of 77378 are 2, 7, 5527. Prime factorization of 77378 in exponential form is:

77378 = 2¹ × 7¹ × 5527¹

Step-2: 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-3: Factors of 77378

List of positive integer factors of 77378 that divides 77378 without a remainder.

1, 2, 7, 14, 5527, 11054, 38689

Step-4: Factors of 77384

List of positive integer factors of 77384 that divides 77378 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77378 and 77384. The biggest common factor number is the GCF number.
So the greatest common factor 77378 and 77384 is 2.

Also check out the Least Common Multiple of 77378 and 77384