What is the Greatest Common Factor of 73390 and 73410?

Greatest common factor (GCF) of 73390 and 73410 is 10.

GCF(73390,73410) = 10

We will now calculate the prime factors of 73390 and 73410, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73390 and 73410.

How to find the GCF of 73390 and 73410?

We will first find the prime factorization of 73390 and 73410. After we will calculate the factors of 73390 and 73410 and find the biggest common factor number .

Step-1: Prime Factorization of 73390

Prime factors of 73390 are 2, 5, 41, 179. Prime factorization of 73390 in exponential form is:

73390 = 2¹ × 5¹ × 41¹ × 179¹

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 73390

List of positive integer factors of 73390 that divides 73390 without a remainder.

1, 2, 5, 10, 41, 82, 179, 205, 358, 410, 895, 1790, 7339, 14678, 36695

Step-4: Factors of 73410

List of positive integer factors of 73410 that divides 73390 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 73390 and 73410. The biggest common factor number is the GCF number.
So the greatest common factor 73390 and 73410 is 10.

Also check out the Least Common Multiple of 73390 and 73410