What is the Greatest Common Factor of 93400 and 93410?

Greatest common factor (GCF) of 93400 and 93410 is 10.

GCF(93400,93410) = 10

We will now calculate the prime factors of 93400 and 93410, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93400 and 93410.

How to find the GCF of 93400 and 93410?

We will first find the prime factorization of 93400 and 93410. After we will calculate the factors of 93400 and 93410 and find the biggest common factor number .

Step-1: Prime Factorization of 93400

Prime factors of 93400 are 2, 5, 467. Prime factorization of 93400 in exponential form is:

93400 = 2³ × 5² × 467¹

Step-2: Prime Factorization of 93410

Prime factors of 93410 are 2, 5, 9341. Prime factorization of 93410 in exponential form is:

93410 = 2¹ × 5¹ × 9341¹

Step-3: Factors of 93400

List of positive integer factors of 93400 that divides 93400 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200, 467, 934, 1868, 2335, 3736, 4670, 9340, 11675, 18680, 23350, 46700

Step-4: Factors of 93410

List of positive integer factors of 93410 that divides 93400 without a remainder.

1, 2, 5, 10, 9341, 18682, 46705

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93400 and 93410. The biggest common factor number is the GCF number.
So the greatest common factor 93400 and 93410 is 10.

Also check out the Least Common Multiple of 93400 and 93410