What is the Greatest Common Factor of 73400 and 73410?

Greatest common factor (GCF) of 73400 and 73410 is 10.

GCF(73400,73410) = 10

We will now calculate the prime factors of 73400 and 73410, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73400 and 73410.

How to find the GCF of 73400 and 73410?

We will first find the prime factorization of 73400 and 73410. After we will calculate the factors of 73400 and 73410 and find the biggest common factor number .

Step-1: Prime Factorization of 73400

Prime factors of 73400 are 2, 5, 367. Prime factorization of 73400 in exponential form is:

73400 = 2³ × 5² × 367¹

Step-2: Prime Factorization of 73410

Prime factors of 73410 are 2, 3, 5, 2447. Prime factorization of 73410 in exponential form is:

73410 = 2¹ × 3¹ × 5¹ × 2447¹

Step-3: Factors of 73400

List of positive integer factors of 73400 that divides 73400 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200, 367, 734, 1468, 1835, 2936, 3670, 7340, 9175, 14680, 18350, 36700

Step-4: Factors of 73410

List of positive integer factors of 73410 that divides 73400 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 2447, 4894, 7341, 12235, 14682, 24470, 36705

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73400 and 73410. The biggest common factor number is the GCF number.
So the greatest common factor 73400 and 73410 is 10.

Also check out the Least Common Multiple of 73400 and 73410