What is the Greatest Common Factor of 40410 and 40420?

Greatest common factor (GCF) of 40410 and 40420 is 10.

GCF(40410,40420) = 10

We will now calculate the prime factors of 40410 and 40420, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40410 and 40420.

How to find the GCF of 40410 and 40420?

We will first find the prime factorization of 40410 and 40420. After we will calculate the factors of 40410 and 40420 and find the biggest common factor number .

Step-1: Prime Factorization of 40410

Prime factors of 40410 are 2, 3, 5, 449. Prime factorization of 40410 in exponential form is:

40410 = 2¹ × 3² × 5¹ × 449¹

Step-2: Prime Factorization of 40420

Prime factors of 40420 are 2, 5, 43, 47. Prime factorization of 40420 in exponential form is:

40420 = 2² × 5¹ × 43¹ × 47¹

Step-3: Factors of 40410

List of positive integer factors of 40410 that divides 40410 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 449, 898, 1347, 2245, 2694, 4041, 4490, 6735, 8082, 13470, 20205

Step-4: Factors of 40420

List of positive integer factors of 40420 that divides 40410 without a remainder.

1, 2, 4, 5, 10, 20, 43, 47, 86, 94, 172, 188, 215, 235, 430, 470, 860, 940, 2021, 4042, 8084, 10105, 20210

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40410 and 40420. The biggest common factor number is the GCF number.
So the greatest common factor 40410 and 40420 is 10.

Also check out the Least Common Multiple of 40410 and 40420