What is the Greatest Common Factor of 87380 and 87385?

Greatest common factor (GCF) of 87380 and 87385 is 5.

GCF(87380,87385) = 5

We will now calculate the prime factors of 87380 and 87385, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87380 and 87385.

How to find the GCF of 87380 and 87385?

We will first find the prime factorization of 87380 and 87385. After we will calculate the factors of 87380 and 87385 and find the biggest common factor number .

Step-1: Prime Factorization of 87380

Prime factors of 87380 are 2, 5, 17, 257. Prime factorization of 87380 in exponential form is:

87380 = 2² × 5¹ × 17¹ × 257¹

Step-2: Prime Factorization of 87385

Prime factors of 87385 are 5, 17477. Prime factorization of 87385 in exponential form is:

87385 = 5¹ × 17477¹

Step-3: Factors of 87380

List of positive integer factors of 87380 that divides 87380 without a remainder.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 257, 340, 514, 1028, 1285, 2570, 4369, 5140, 8738, 17476, 21845, 43690

Step-4: Factors of 87385

List of positive integer factors of 87385 that divides 87380 without a remainder.

1, 5, 17477

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87380 and 87385. The biggest common factor number is the GCF number.
So the greatest common factor 87380 and 87385 is 5.

Also check out the Least Common Multiple of 87380 and 87385