What is the Greatest Common Factor of 77382 and 77396?

Greatest common factor (GCF) of 77382 and 77396 is 2.

GCF(77382,77396) = 2

We will now calculate the prime factors of 77382 and 77396, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77382 and 77396.

How to find the GCF of 77382 and 77396?

We will first find the prime factorization of 77382 and 77396. After we will calculate the factors of 77382 and 77396 and find the biggest common factor number .

Step-1: Prime Factorization of 77382

Prime factors of 77382 are 2, 3, 1433. Prime factorization of 77382 in exponential form is:

77382 = 2¹ × 3³ × 1433¹

Step-2: Prime Factorization of 77396

Prime factors of 77396 are 2, 11, 1759. Prime factorization of 77396 in exponential form is:

77396 = 2² × 11¹ × 1759¹

Step-3: Factors of 77382

List of positive integer factors of 77382 that divides 77382 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 1433, 2866, 4299, 8598, 12897, 25794, 38691

Step-4: Factors of 77396

List of positive integer factors of 77396 that divides 77382 without a remainder.

1, 2, 4, 11, 22, 44, 1759, 3518, 7036, 19349, 38698

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77382 and 77396. The biggest common factor number is the GCF number.
So the greatest common factor 77382 and 77396 is 2.

Also check out the Least Common Multiple of 77382 and 77396