What is the Greatest Common Factor of 89180 and 89192?

Greatest common factor (GCF) of 89180 and 89192 is 4.

GCF(89180,89192) = 4

We will now calculate the prime factors of 89180 and 89192, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89180 and 89192.

How to find the GCF of 89180 and 89192?

We will first find the prime factorization of 89180 and 89192. After we will calculate the factors of 89180 and 89192 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 89192

Prime factors of 89192 are 2, 11149. Prime factorization of 89192 in exponential form is:

89192 = 2³ × 11149¹

Step-3: Factors of 89180

List of positive integer factors of 89180 that divides 89180 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

Step-4: Factors of 89192

List of positive integer factors of 89192 that divides 89180 without a remainder.

1, 2, 4, 8, 11149, 22298, 44596

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89180 and 89192. The biggest common factor number is the GCF number.
So the greatest common factor 89180 and 89192 is 4.

Also check out the Least Common Multiple of 89180 and 89192