What is the Greatest Common Factor of 77362 and 77366?

Greatest common factor (GCF) of 77362 and 77366 is 2.

GCF(77362,77366) = 2

We will now calculate the prime factors of 77362 and 77366, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77362 and 77366.

How to find the GCF of 77362 and 77366?

We will first find the prime factorization of 77362 and 77366. After we will calculate the factors of 77362 and 77366 and find the biggest common factor number .

Step-1: Prime Factorization of 77362

Prime factors of 77362 are 2, 47, 823. Prime factorization of 77362 in exponential form is:

77362 = 2¹ × 47¹ × 823¹

Step-2: Prime Factorization of 77366

Prime factors of 77366 are 2, 101, 383. Prime factorization of 77366 in exponential form is:

77366 = 2¹ × 101¹ × 383¹

Step-3: Factors of 77362

List of positive integer factors of 77362 that divides 77362 without a remainder.

1, 2, 47, 94, 823, 1646, 38681

Step-4: Factors of 77366

List of positive integer factors of 77366 that divides 77362 without a remainder.

1, 2, 101, 202, 383, 766, 38683

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77362 and 77366. The biggest common factor number is the GCF number.
So the greatest common factor 77362 and 77366 is 2.

Also check out the Least Common Multiple of 77362 and 77366