What is the Greatest Common Factor of 77278 and 77288?

Greatest common factor (GCF) of 77278 and 77288 is 2.

GCF(77278,77288) = 2

We will now calculate the prime factors of 77278 and 77288, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77278 and 77288.

How to find the GCF of 77278 and 77288?

We will first find the prime factorization of 77278 and 77288. After we will calculate the factors of 77278 and 77288 and find the biggest common factor number .

Step-1: Prime Factorization of 77278

Prime factors of 77278 are 2, 38639. Prime factorization of 77278 in exponential form is:

77278 = 2¹ × 38639¹

Step-2: Prime Factorization of 77288

Prime factors of 77288 are 2, 9661. Prime factorization of 77288 in exponential form is:

77288 = 2³ × 9661¹

Step-3: Factors of 77278

List of positive integer factors of 77278 that divides 77278 without a remainder.

1, 2, 38639

Step-4: Factors of 77288

List of positive integer factors of 77288 that divides 77278 without a remainder.

1, 2, 4, 8, 9661, 19322, 38644

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77278 and 77288. The biggest common factor number is the GCF number.
So the greatest common factor 77278 and 77288 is 2.

Also check out the Least Common Multiple of 77278 and 77288