What is the Greatest Common Factor of 40404 and 40420?

Greatest common factor (GCF) of 40404 and 40420 is 4.

GCF(40404,40420) = 4

We will now calculate the prime factors of 40404 and 40420, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40404 and 40420.

How to find the GCF of 40404 and 40420?

We will first find the prime factorization of 40404 and 40420. After we will calculate the factors of 40404 and 40420 and find the biggest common factor number .

Step-1: Prime Factorization of 40404

Prime factors of 40404 are 2, 3, 7, 13, 37. Prime factorization of 40404 in exponential form is:

40404 = 2² × 3¹ × 7¹ × 13¹ × 37¹

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 40404

List of positive integer factors of 40404 that divides 40404 without a remainder.

1, 2, 3, 4, 6, 7, 12, 13, 14, 21, 26, 28, 37, 39, 42, 52, 74, 78, 84, 91, 111, 148, 156, 182, 222, 259, 273, 364, 444, 481, 518, 546, 777, 962, 1036, 1092, 1443, 1554, 1924, 2886, 3108, 3367, 5772, 6734, 10101, 13468, 20202

Step-4: Factors of 40420

List of positive integer factors of 40420 that divides 40404 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 40404 and 40420. The biggest common factor number is the GCF number.
So the greatest common factor 40404 and 40420 is 4.

Also check out the Least Common Multiple of 40404 and 40420