What is the Greatest Common Factor of 89434 and 89440?

Greatest common factor (GCF) of 89434 and 89440 is 2.

GCF(89434,89440) = 2

We will now calculate the prime factors of 89434 and 89440, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89434 and 89440.

How to find the GCF of 89434 and 89440?

We will first find the prime factorization of 89434 and 89440. After we will calculate the factors of 89434 and 89440 and find the biggest common factor number .

Step-1: Prime Factorization of 89434

Prime factors of 89434 are 2, 97, 461. Prime factorization of 89434 in exponential form is:

89434 = 2¹ × 97¹ × 461¹

Step-2: Prime Factorization of 89440

Prime factors of 89440 are 2, 5, 13, 43. Prime factorization of 89440 in exponential form is:

89440 = 2⁵ × 5¹ × 13¹ × 43¹

Step-3: Factors of 89434

List of positive integer factors of 89434 that divides 89434 without a remainder.

1, 2, 97, 194, 461, 922, 44717

Step-4: Factors of 89440

List of positive integer factors of 89440 that divides 89434 without a remainder.

1, 2, 4, 5, 8, 10, 13, 16, 20, 26, 32, 40, 43, 52, 65, 80, 86, 104, 130, 160, 172, 208, 215, 260, 344, 416, 430, 520, 559, 688, 860, 1040, 1118, 1376, 1720, 2080, 2236, 2795, 3440, 4472, 5590, 6880, 8944, 11180, 17888, 22360, 44720

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89434 and 89440. The biggest common factor number is the GCF number.
So the greatest common factor 89434 and 89440 is 2.

Also check out the Least Common Multiple of 89434 and 89440