What is the Greatest Common Factor of 83410 and 83430?

Greatest common factor (GCF) of 83410 and 83430 is 10.

GCF(83410,83430) = 10

We will now calculate the prime factors of 83410 and 83430, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83410 and 83430.

How to find the GCF of 83410 and 83430?

We will first find the prime factorization of 83410 and 83430. After we will calculate the factors of 83410 and 83430 and find the biggest common factor number .

Step-1: Prime Factorization of 83410

Prime factors of 83410 are 2, 5, 19, 439. Prime factorization of 83410 in exponential form is:

83410 = 2¹ × 5¹ × 19¹ × 439¹

Step-2: Prime Factorization of 83430

Prime factors of 83430 are 2, 3, 5, 103. Prime factorization of 83430 in exponential form is:

83430 = 2¹ × 3⁴ × 5¹ × 103¹

Step-3: Factors of 83410

List of positive integer factors of 83410 that divides 83410 without a remainder.

1, 2, 5, 10, 19, 38, 95, 190, 439, 878, 2195, 4390, 8341, 16682, 41705

Step-4: Factors of 83430

List of positive integer factors of 83430 that divides 83410 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 103, 135, 162, 206, 270, 309, 405, 515, 618, 810, 927, 1030, 1545, 1854, 2781, 3090, 4635, 5562, 8343, 9270, 13905, 16686, 27810, 41715

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83410 and 83430. The biggest common factor number is the GCF number.
So the greatest common factor 83410 and 83430 is 10.

Also check out the Least Common Multiple of 83410 and 83430