What is the Greatest Common Factor of 89430 and 89440?

Greatest common factor (GCF) of 89430 and 89440 is 10.

GCF(89430,89440) = 10

We will now calculate the prime factors of 89430 and 89440, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89430 and 89440.

How to find the GCF of 89430 and 89440?

We will first find the prime factorization of 89430 and 89440. After we will calculate the factors of 89430 and 89440 and find the biggest common factor number .

Step-1: Prime Factorization of 89430

Prime factors of 89430 are 2, 3, 5, 11, 271. Prime factorization of 89430 in exponential form is:

89430 = 2¹ × 3¹ × 5¹ × 11¹ × 271¹

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 89430

List of positive integer factors of 89430 that divides 89430 without a remainder.

1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 271, 330, 542, 813, 1355, 1626, 2710, 2981, 4065, 5962, 8130, 8943, 14905, 17886, 29810, 44715

Step-4: Factors of 89440

List of positive integer factors of 89440 that divides 89430 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 89430 and 89440. The biggest common factor number is the GCF number.
So the greatest common factor 89430 and 89440 is 10.

Also check out the Least Common Multiple of 89430 and 89440