What is the Greatest Common Factor of 89096 and 89102?

Greatest common factor (GCF) of 89096 and 89102 is 2.

GCF(89096,89102) = 2

We will now calculate the prime factors of 89096 and 89102, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89096 and 89102.

How to find the GCF of 89096 and 89102?

We will first find the prime factorization of 89096 and 89102. After we will calculate the factors of 89096 and 89102 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 89102

Prime factors of 89102 are 2, 13, 23, 149. Prime factorization of 89102 in exponential form is:

89102 = 2¹ × 13¹ × 23¹ × 149¹

Step-3: Factors of 89096

List of positive integer factors of 89096 that divides 89096 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

Step-4: Factors of 89102

List of positive integer factors of 89102 that divides 89096 without a remainder.

1, 2, 13, 23, 26, 46, 149, 298, 299, 598, 1937, 3427, 3874, 6854, 44551

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89096 and 89102. The biggest common factor number is the GCF number.
So the greatest common factor 89096 and 89102 is 2.

Also check out the Least Common Multiple of 89096 and 89102