What is the Greatest Common Factor of 77385 and 77403?

Greatest common factor (GCF) of 77385 and 77403 is 3.

GCF(77385,77403) = 3

We will now calculate the prime factors of 77385 and 77403, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77385 and 77403.

How to find the GCF of 77385 and 77403?

We will first find the prime factorization of 77385 and 77403. After we will calculate the factors of 77385 and 77403 and find the biggest common factor number .

Step-1: Prime Factorization of 77385

Prime factors of 77385 are 3, 5, 7, 11, 67. Prime factorization of 77385 in exponential form is:

77385 = 3¹ × 5¹ × 7¹ × 11¹ × 67¹

Step-2: Prime Factorization of 77403

Prime factors of 77403 are 3, 25801. Prime factorization of 77403 in exponential form is:

77403 = 3¹ × 25801¹

Step-3: Factors of 77385

List of positive integer factors of 77385 that divides 77385 without a remainder.

1, 3, 5, 7, 11, 15, 21, 33, 35, 55, 67, 77, 105, 165, 201, 231, 335, 385, 469, 737, 1005, 1155, 1407, 2211, 2345, 3685, 5159, 7035, 11055, 15477, 25795

Step-4: Factors of 77403

List of positive integer factors of 77403 that divides 77385 without a remainder.

1, 3, 25801

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77385 and 77403. The biggest common factor number is the GCF number.
So the greatest common factor 77385 and 77403 is 3.

Also check out the Least Common Multiple of 77385 and 77403