What is the Greatest Common Factor of 77276 and 77284?

Greatest common factor (GCF) of 77276 and 77284 is 4.

GCF(77276,77284) = 4

We will now calculate the prime factors of 77276 and 77284, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77276 and 77284.

How to find the GCF of 77276 and 77284?

We will first find the prime factorization of 77276 and 77284. After we will calculate the factors of 77276 and 77284 and find the biggest common factor number .

Step-1: Prime Factorization of 77276

Prime factors of 77276 are 2, 19319. Prime factorization of 77276 in exponential form is:

77276 = 2² × 19319¹

Step-2: Prime Factorization of 77284

Prime factors of 77284 are 2, 139. Prime factorization of 77284 in exponential form is:

77284 = 2² × 139²

Step-3: Factors of 77276

List of positive integer factors of 77276 that divides 77276 without a remainder.

1, 2, 4, 19319, 38638

Step-4: Factors of 77284

List of positive integer factors of 77284 that divides 77276 without a remainder.

1, 2, 4, 139, 278, 556, 19321, 38642

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77276 and 77284. The biggest common factor number is the GCF number.
So the greatest common factor 77276 and 77284 is 4.

Also check out the Least Common Multiple of 77276 and 77284