What is the Greatest Common Factor of 89430 and 89434?

Greatest common factor (GCF) of 89430 and 89434 is 2.

GCF(89430,89434) = 2

We will now calculate the prime factors of 89430 and 89434, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89430 and 89434.

How to find the GCF of 89430 and 89434?

We will first find the prime factorization of 89430 and 89434. After we will calculate the factors of 89430 and 89434 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 89434

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

89434 = 2¹ × 97¹ × 461¹

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 89434

List of positive integer factors of 89434 that divides 89430 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89430 and 89434. The biggest common factor number is the GCF number.
So the greatest common factor 89430 and 89434 is 2.

Also check out the Least Common Multiple of 89430 and 89434