What is the Greatest Common Factor of 89420 and 89430?

Greatest common factor (GCF) of 89420 and 89430 is 10.

GCF(89420,89430) = 10

We will now calculate the prime factors of 89420 and 89430, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89420 and 89430.

How to find the GCF of 89420 and 89430?

We will first find the prime factorization of 89420 and 89430. After we will calculate the factors of 89420 and 89430 and find the biggest common factor number .

Step-1: Prime Factorization of 89420

Prime factors of 89420 are 2, 5, 17, 263. Prime factorization of 89420 in exponential form is:

89420 = 2² × 5¹ × 17¹ × 263¹

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 89420

List of positive integer factors of 89420 that divides 89420 without a remainder.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 263, 340, 526, 1052, 1315, 2630, 4471, 5260, 8942, 17884, 22355, 44710

Step-4: Factors of 89430

List of positive integer factors of 89430 that divides 89420 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 89420 and 89430. The biggest common factor number is the GCF number.
So the greatest common factor 89420 and 89430 is 10.

Also check out the Least Common Multiple of 89420 and 89430