What is the Greatest Common Factor of 40414 and 40420?

Greatest common factor (GCF) of 40414 and 40420 is 2.

GCF(40414,40420) = 2

We will now calculate the prime factors of 40414 and 40420, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40414 and 40420.

How to find the GCF of 40414 and 40420?

We will first find the prime factorization of 40414 and 40420. After we will calculate the factors of 40414 and 40420 and find the biggest common factor number .

Step-1: Prime Factorization of 40414

Prime factors of 40414 are 2, 11, 167. Prime factorization of 40414 in exponential form is:

40414 = 2¹ × 11² × 167¹

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 40414

List of positive integer factors of 40414 that divides 40414 without a remainder.

1, 2, 11, 22, 121, 167, 242, 334, 1837, 3674, 20207

Step-4: Factors of 40420

List of positive integer factors of 40420 that divides 40414 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 40414 and 40420. The biggest common factor number is the GCF number.
So the greatest common factor 40414 and 40420 is 2.

Also check out the Least Common Multiple of 40414 and 40420