What is the Greatest Common Factor of 43400 and 43410?

Greatest common factor (GCF) of 43400 and 43410 is 10.

GCF(43400,43410) = 10

We will now calculate the prime factors of 43400 and 43410, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43400 and 43410.

How to find the GCF of 43400 and 43410?

We will first find the prime factorization of 43400 and 43410. After we will calculate the factors of 43400 and 43410 and find the biggest common factor number .

Step-1: Prime Factorization of 43400

Prime factors of 43400 are 2, 5, 7, 31. Prime factorization of 43400 in exponential form is:

43400 = 2³ × 5² × 7¹ × 31¹

Step-2: Prime Factorization of 43410

Prime factors of 43410 are 2, 3, 5, 1447. Prime factorization of 43410 in exponential form is:

43410 = 2¹ × 3¹ × 5¹ × 1447¹

Step-3: Factors of 43400

List of positive integer factors of 43400 that divides 43400 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 25, 28, 31, 35, 40, 50, 56, 62, 70, 100, 124, 140, 155, 175, 200, 217, 248, 280, 310, 350, 434, 620, 700, 775, 868, 1085, 1240, 1400, 1550, 1736, 2170, 3100, 4340, 5425, 6200, 8680, 10850, 21700

Step-4: Factors of 43410

List of positive integer factors of 43410 that divides 43400 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 1447, 2894, 4341, 7235, 8682, 14470, 21705

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43400 and 43410. The biggest common factor number is the GCF number.
So the greatest common factor 43400 and 43410 is 10.

Also check out the Least Common Multiple of 43400 and 43410