What is the Greatest Common Factor of 89082 and 89096?

Greatest common factor (GCF) of 89082 and 89096 is 14.

GCF(89082,89096) = 14

We will now calculate the prime factors of 89082 and 89096, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89082 and 89096.

How to find the GCF of 89082 and 89096?

We will first find the prime factorization of 89082 and 89096. After we will calculate the factors of 89082 and 89096 and find the biggest common factor number .

Step-1: Prime Factorization of 89082

Prime factors of 89082 are 2, 3, 7, 101. Prime factorization of 89082 in exponential form is:

89082 = 2¹ × 3² × 7² × 101¹

Step-2: Prime Factorization of 89096

Prime factors of 89096 are 2, 7, 37, 43. Prime factorization of 89096 in exponential form is:

89096 = 2³ × 7¹ × 37¹ × 43¹

Step-3: Factors of 89082

List of positive integer factors of 89082 that divides 89082 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 101, 126, 147, 202, 294, 303, 441, 606, 707, 882, 909, 1414, 1818, 2121, 4242, 4949, 6363, 9898, 12726, 14847, 29694, 44541

Step-4: Factors of 89096

List of positive integer factors of 89096 that divides 89082 without a remainder.

1, 2, 4, 7, 8, 14, 28, 37, 43, 56, 74, 86, 148, 172, 259, 296, 301, 344, 518, 602, 1036, 1204, 1591, 2072, 2408, 3182, 6364, 11137, 12728, 22274, 44548

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89082 and 89096. The biggest common factor number is the GCF number.
So the greatest common factor 89082 and 89096 is 14.

Also check out the Least Common Multiple of 89082 and 89096