What is the Greatest Common Factor of 89565 and 89580?

Greatest common factor (GCF) of 89565 and 89580 is 15.

GCF(89565,89580) = 15

We will now calculate the prime factors of 89565 and 89580, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89565 and 89580.

How to find the GCF of 89565 and 89580?

We will first find the prime factorization of 89565 and 89580. After we will calculate the factors of 89565 and 89580 and find the biggest common factor number .

Step-1: Prime Factorization of 89565

Prime factors of 89565 are 3, 5, 7, 853. Prime factorization of 89565 in exponential form is:

89565 = 3¹ × 5¹ × 7¹ × 853¹

Step-2: Prime Factorization of 89580

Prime factors of 89580 are 2, 3, 5, 1493. Prime factorization of 89580 in exponential form is:

89580 = 2² × 3¹ × 5¹ × 1493¹

Step-3: Factors of 89565

List of positive integer factors of 89565 that divides 89565 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105, 853, 2559, 4265, 5971, 12795, 17913, 29855

Step-4: Factors of 89580

List of positive integer factors of 89580 that divides 89565 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 1493, 2986, 4479, 5972, 7465, 8958, 14930, 17916, 22395, 29860, 44790

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89565 and 89580. The biggest common factor number is the GCF number.
So the greatest common factor 89565 and 89580 is 15.

Also check out the Least Common Multiple of 89565 and 89580