What is the Greatest Common Factor of 89295 and 89300?

Greatest common factor (GCF) of 89295 and 89300 is 5.

GCF(89295,89300) = 5

We will now calculate the prime factors of 89295 and 89300, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89295 and 89300.

How to find the GCF of 89295 and 89300?

We will first find the prime factorization of 89295 and 89300. After we will calculate the factors of 89295 and 89300 and find the biggest common factor number .

Step-1: Prime Factorization of 89295

Prime factors of 89295 are 3, 5, 5953. Prime factorization of 89295 in exponential form is:

89295 = 3¹ × 5¹ × 5953¹

Step-2: 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-3: Factors of 89295

List of positive integer factors of 89295 that divides 89295 without a remainder.

1, 3, 5, 15, 5953, 17859, 29765

Step-4: Factors of 89300

List of positive integer factors of 89300 that divides 89295 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89295 and 89300. The biggest common factor number is the GCF number.
So the greatest common factor 89295 and 89300 is 5.

Also check out the Least Common Multiple of 89295 and 89300