What is the Greatest Common Factor of 89300 and 89316?

Greatest common factor (GCF) of 89300 and 89316 is 4.

GCF(89300,89316) = 4

We will now calculate the prime factors of 89300 and 89316, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89300 and 89316.

How to find the GCF of 89300 and 89316?

We will first find the prime factorization of 89300 and 89316. After we will calculate the factors of 89300 and 89316 and find the biggest common factor number .

Step-1: Prime Factorization of 89300

Prime factors of 89300 are 2, 5, 19, 47. Prime factorization of 89300 in exponential form is:

89300 = 2² × 5² × 19¹ × 47¹

Step-2: Prime Factorization of 89316

Prime factors of 89316 are 2, 3, 827. Prime factorization of 89316 in exponential form is:

89316 = 2² × 3³ × 827¹

Step-3: Factors of 89300

List of positive integer factors of 89300 that divides 89300 without a remainder.

1, 2, 4, 5, 10, 19, 20, 25, 38, 47, 50, 76, 94, 95, 100, 188, 190, 235, 380, 470, 475, 893, 940, 950, 1175, 1786, 1900, 2350, 3572, 4465, 4700, 8930, 17860, 22325, 44650

Step-4: Factors of 89316

List of positive integer factors of 89316 that divides 89300 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 827, 1654, 2481, 3308, 4962, 7443, 9924, 14886, 22329, 29772, 44658

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89300 and 89316. The biggest common factor number is the GCF number.
So the greatest common factor 89300 and 89316 is 4.

Also check out the Least Common Multiple of 89300 and 89316