What is the Greatest Common Factor of 89078 and 89096?

Greatest common factor (GCF) of 89078 and 89096 is 2.

GCF(89078,89096) = 2

We will now calculate the prime factors of 89078 and 89096, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89078 and 89096.

How to find the GCF of 89078 and 89096?

We will first find the prime factorization of 89078 and 89096. After we will calculate the factors of 89078 and 89096 and find the biggest common factor number .

Step-1: Prime Factorization of 89078

Prime factors of 89078 are 2, 11, 4049. Prime factorization of 89078 in exponential form is:

89078 = 2¹ × 11¹ × 4049¹

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 89078

List of positive integer factors of 89078 that divides 89078 without a remainder.

1, 2, 11, 22, 4049, 8098, 44539

Step-4: Factors of 89096

List of positive integer factors of 89096 that divides 89078 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 89078 and 89096. The biggest common factor number is the GCF number.
So the greatest common factor 89078 and 89096 is 2.

Also check out the Least Common Multiple of 89078 and 89096