What is the Greatest Common Factor of 40403 and 40420?

Greatest common factor (GCF) of 40403 and 40420 is 1.

GCF(40403,40420) = 1

We will now calculate the prime factors of 40403 and 40420, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40403 and 40420.

How to find the GCF of 40403 and 40420?

We will first find the prime factorization of 40403 and 40420. After we will calculate the factors of 40403 and 40420 and find the biggest common factor number .

Step-1: Prime Factorization of 40403

Prime factors of 40403 are 11, 3673. Prime factorization of 40403 in exponential form is:

40403 = 11¹ × 3673¹

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 40403

List of positive integer factors of 40403 that divides 40403 without a remainder.

1, 11, 3673

Step-4: Factors of 40420

List of positive integer factors of 40420 that divides 40403 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 40403 and 40420. The biggest common factor number is the GCF number.
So the greatest common factor 40403 and 40420 is 1.

Also check out the Least Common Multiple of 40403 and 40420