What is the Greatest Common Factor of 89580 and 89584?

Greatest common factor (GCF) of 89580 and 89584 is 4.

GCF(89580,89584) = 4

We will now calculate the prime factors of 89580 and 89584, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89580 and 89584.

How to find the GCF of 89580 and 89584?

We will first find the prime factorization of 89580 and 89584. After we will calculate the factors of 89580 and 89584 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 89584

Prime factors of 89584 are 2, 11, 509. Prime factorization of 89584 in exponential form is:

89584 = 2⁴ × 11¹ × 509¹

Step-3: Factors of 89580

List of positive integer factors of 89580 that divides 89580 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

Step-4: Factors of 89584

List of positive integer factors of 89584 that divides 89580 without a remainder.

1, 2, 4, 8, 11, 16, 22, 44, 88, 176, 509, 1018, 2036, 4072, 5599, 8144, 11198, 22396, 44792

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89580 and 89584. The biggest common factor number is the GCF number.
So the greatest common factor 89580 and 89584 is 4.

Also check out the Least Common Multiple of 89580 and 89584