What is the Greatest Common Factor of 87340 and 87355?

Greatest common factor (GCF) of 87340 and 87355 is 5.

GCF(87340,87355) = 5

We will now calculate the prime factors of 87340 and 87355, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87340 and 87355.

How to find the GCF of 87340 and 87355?

We will first find the prime factorization of 87340 and 87355. After we will calculate the factors of 87340 and 87355 and find the biggest common factor number .

Step-1: Prime Factorization of 87340

Prime factors of 87340 are 2, 5, 11, 397. Prime factorization of 87340 in exponential form is:

87340 = 2² × 5¹ × 11¹ × 397¹

Step-2: Prime Factorization of 87355

Prime factors of 87355 are 5, 17471. Prime factorization of 87355 in exponential form is:

87355 = 5¹ × 17471¹

Step-3: Factors of 87340

List of positive integer factors of 87340 that divides 87340 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220, 397, 794, 1588, 1985, 3970, 4367, 7940, 8734, 17468, 21835, 43670

Step-4: Factors of 87355

List of positive integer factors of 87355 that divides 87340 without a remainder.

1, 5, 17471

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87340 and 87355. The biggest common factor number is the GCF number.
So the greatest common factor 87340 and 87355 is 5.

Also check out the Least Common Multiple of 87340 and 87355