What is the Greatest Common Factor of 89160 and 89180?

Greatest common factor (GCF) of 89160 and 89180 is 20.

GCF(89160,89180) = 20

We will now calculate the prime factors of 89160 and 89180, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89160 and 89180.

How to find the GCF of 89160 and 89180?

We will first find the prime factorization of 89160 and 89180. After we will calculate the factors of 89160 and 89180 and find the biggest common factor number .

Step-1: Prime Factorization of 89160

Prime factors of 89160 are 2, 3, 5, 743. Prime factorization of 89160 in exponential form is:

89160 = 2³ × 3¹ × 5¹ × 743¹

Step-2: Prime Factorization of 89180

Prime factors of 89180 are 2, 5, 7, 13. Prime factorization of 89180 in exponential form is:

89180 = 2² × 5¹ × 7³ × 13¹

Step-3: Factors of 89160

List of positive integer factors of 89160 that divides 89160 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 743, 1486, 2229, 2972, 3715, 4458, 5944, 7430, 8916, 11145, 14860, 17832, 22290, 29720, 44580

Step-4: Factors of 89180

List of positive integer factors of 89180 that divides 89160 without a remainder.

1, 2, 4, 5, 7, 10, 13, 14, 20, 26, 28, 35, 49, 52, 65, 70, 91, 98, 130, 140, 182, 196, 245, 260, 343, 364, 455, 490, 637, 686, 910, 980, 1274, 1372, 1715, 1820, 2548, 3185, 3430, 4459, 6370, 6860, 8918, 12740, 17836, 22295, 44590

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89160 and 89180. The biggest common factor number is the GCF number.
So the greatest common factor 89160 and 89180 is 20.

Also check out the Least Common Multiple of 89160 and 89180