What is the Greatest Common Factor of 77380 and 77385?

Greatest common factor (GCF) of 77380 and 77385 is 5.

GCF(77380,77385) = 5

We will now calculate the prime factors of 77380 and 77385, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77380 and 77385.

How to find the GCF of 77380 and 77385?

We will first find the prime factorization of 77380 and 77385. After we will calculate the factors of 77380 and 77385 and find the biggest common factor number .

Step-1: Prime Factorization of 77380

Prime factors of 77380 are 2, 5, 53, 73. Prime factorization of 77380 in exponential form is:

77380 = 2² × 5¹ × 53¹ × 73¹

Step-2: 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-3: Factors of 77380

List of positive integer factors of 77380 that divides 77380 without a remainder.

1, 2, 4, 5, 10, 20, 53, 73, 106, 146, 212, 265, 292, 365, 530, 730, 1060, 1460, 3869, 7738, 15476, 19345, 38690

Step-4: Factors of 77385

List of positive integer factors of 77385 that divides 77380 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77380 and 77385. The biggest common factor number is the GCF number.
So the greatest common factor 77380 and 77385 is 5.

Also check out the Least Common Multiple of 77380 and 77385