What is the Greatest Common Factor of 89430 and 89436?

Greatest common factor (GCF) of 89430 and 89436 is 6.

GCF(89430,89436) = 6

We will now calculate the prime factors of 89430 and 89436, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89430 and 89436.

How to find the GCF of 89430 and 89436?

We will first find the prime factorization of 89430 and 89436. After we will calculate the factors of 89430 and 89436 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 89436

Prime factors of 89436 are 2, 3, 29, 257. Prime factorization of 89436 in exponential form is:

89436 = 2² × 3¹ × 29¹ × 257¹

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 89436

List of positive integer factors of 89436 that divides 89430 without a remainder.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 257, 348, 514, 771, 1028, 1542, 3084, 7453, 14906, 22359, 29812, 44718

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89430 and 89436. The biggest common factor number is the GCF number.
So the greatest common factor 89430 and 89436 is 6.

Also check out the Least Common Multiple of 89430 and 89436