What is the Greatest Common Factor of 89440 and 89452?

Greatest common factor (GCF) of 89440 and 89452 is 4.

GCF(89440,89452) = 4

We will now calculate the prime factors of 89440 and 89452, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89440 and 89452.

How to find the GCF of 89440 and 89452?

We will first find the prime factorization of 89440 and 89452. After we will calculate the factors of 89440 and 89452 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 89452

Prime factors of 89452 are 2, 11, 19, 107. Prime factorization of 89452 in exponential form is:

89452 = 2² × 11¹ × 19¹ × 107¹

Step-3: Factors of 89440

List of positive integer factors of 89440 that divides 89440 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

Step-4: Factors of 89452

List of positive integer factors of 89452 that divides 89440 without a remainder.

1, 2, 4, 11, 19, 22, 38, 44, 76, 107, 209, 214, 418, 428, 836, 1177, 2033, 2354, 4066, 4708, 8132, 22363, 44726

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89440 and 89452. The biggest common factor number is the GCF number.
So the greatest common factor 89440 and 89452 is 4.

Also check out the Least Common Multiple of 89440 and 89452