What is the Greatest Common Factor of 89424 and 89430?

Greatest common factor (GCF) of 89424 and 89430 is 6.

GCF(89424,89430) = 6

We will now calculate the prime factors of 89424 and 89430, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89424 and 89430.

How to find the GCF of 89424 and 89430?

We will first find the prime factorization of 89424 and 89430. After we will calculate the factors of 89424 and 89430 and find the biggest common factor number .

Step-1: Prime Factorization of 89424

Prime factors of 89424 are 2, 3, 23. Prime factorization of 89424 in exponential form is:

89424 = 2⁴ × 3⁵ × 23¹

Step-2: 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-3: Factors of 89424

List of positive integer factors of 89424 that divides 89424 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 23, 24, 27, 36, 46, 48, 54, 69, 72, 81, 92, 108, 138, 144, 162, 184, 207, 216, 243, 276, 324, 368, 414, 432, 486, 552, 621, 648, 828, 972, 1104, 1242, 1296, 1656, 1863, 1944, 2484, 3312, 3726, 3888, 4968, 5589, 7452, 9936, 11178, 14904, 22356, 29808, 44712

Step-4: Factors of 89430

List of positive integer factors of 89430 that divides 89424 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89424 and 89430. The biggest common factor number is the GCF number.
So the greatest common factor 89424 and 89430 is 6.

Also check out the Least Common Multiple of 89424 and 89430