What is the Greatest Common Factor of 87324 and 87340?

Greatest common factor (GCF) of 87324 and 87340 is 4.

GCF(87324,87340) = 4

We will now calculate the prime factors of 87324 and 87340, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87324 and 87340.

How to find the GCF of 87324 and 87340?

We will first find the prime factorization of 87324 and 87340. After we will calculate the factors of 87324 and 87340 and find the biggest common factor number .

Step-1: Prime Factorization of 87324

Prime factors of 87324 are 2, 3, 19, 383. Prime factorization of 87324 in exponential form is:

87324 = 2² × 3¹ × 19¹ × 383¹

Step-2: 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-3: Factors of 87324

List of positive integer factors of 87324 that divides 87324 without a remainder.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228, 383, 766, 1149, 1532, 2298, 4596, 7277, 14554, 21831, 29108, 43662

Step-4: Factors of 87340

List of positive integer factors of 87340 that divides 87324 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87324 and 87340. The biggest common factor number is the GCF number.
So the greatest common factor 87324 and 87340 is 4.

Also check out the Least Common Multiple of 87324 and 87340