What is the Greatest Common Factor of 87375 and 87380?

Greatest common factor (GCF) of 87375 and 87380 is 5.

GCF(87375,87380) = 5

We will now calculate the prime factors of 87375 and 87380, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87375 and 87380.

How to find the GCF of 87375 and 87380?

We will first find the prime factorization of 87375 and 87380. After we will calculate the factors of 87375 and 87380 and find the biggest common factor number .

Step-1: Prime Factorization of 87375

Prime factors of 87375 are 3, 5, 233. Prime factorization of 87375 in exponential form is:

87375 = 3¹ × 5³ × 233¹

Step-2: 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-3: Factors of 87375

List of positive integer factors of 87375 that divides 87375 without a remainder.

1, 3, 5, 15, 25, 75, 125, 233, 375, 699, 1165, 3495, 5825, 17475, 29125

Step-4: Factors of 87380

List of positive integer factors of 87380 that divides 87375 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87375 and 87380. The biggest common factor number is the GCF number.
So the greatest common factor 87375 and 87380 is 5.

Also check out the Least Common Multiple of 87375 and 87380