What is the Greatest Common Factor of 77338 and 77356?

Greatest common factor (GCF) of 77338 and 77356 is 2.

GCF(77338,77356) = 2

We will now calculate the prime factors of 77338 and 77356, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77338 and 77356.

How to find the GCF of 77338 and 77356?

We will first find the prime factorization of 77338 and 77356. After we will calculate the factors of 77338 and 77356 and find the biggest common factor number .

Step-1: Prime Factorization of 77338

Prime factors of 77338 are 2, 38669. Prime factorization of 77338 in exponential form is:

77338 = 2¹ × 38669¹

Step-2: Prime Factorization of 77356

Prime factors of 77356 are 2, 83, 233. Prime factorization of 77356 in exponential form is:

77356 = 2² × 83¹ × 233¹

Step-3: Factors of 77338

List of positive integer factors of 77338 that divides 77338 without a remainder.

1, 2, 38669

Step-4: Factors of 77356

List of positive integer factors of 77356 that divides 77338 without a remainder.

1, 2, 4, 83, 166, 233, 332, 466, 932, 19339, 38678

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77338 and 77356. The biggest common factor number is the GCF number.
So the greatest common factor 77338 and 77356 is 2.

Also check out the Least Common Multiple of 77338 and 77356