What is the Greatest Common Factor of 40040 and 40054?

Greatest common factor (GCF) of 40040 and 40054 is 14.

GCF(40040,40054) = 14

We will now calculate the prime factors of 40040 and 40054, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40040 and 40054.

How to find the GCF of 40040 and 40054?

We will first find the prime factorization of 40040 and 40054. After we will calculate the factors of 40040 and 40054 and find the biggest common factor number .

Step-1: Prime Factorization of 40040

Prime factors of 40040 are 2, 5, 7, 11, 13. Prime factorization of 40040 in exponential form is:

40040 = 2³ × 5¹ × 7¹ × 11¹ × 13¹

Step-2: Prime Factorization of 40054

Prime factors of 40054 are 2, 7, 2861. Prime factorization of 40054 in exponential form is:

40054 = 2¹ × 7¹ × 2861¹

Step-3: Factors of 40040

List of positive integer factors of 40040 that divides 40040 without a remainder.

1, 2, 4, 5, 7, 8, 10, 11, 13, 14, 20, 22, 26, 28, 35, 40, 44, 52, 55, 56, 65, 70, 77, 88, 91, 104, 110, 130, 140, 143, 154, 182, 220, 260, 280, 286, 308, 364, 385, 440, 455, 520, 572, 616, 715, 728, 770, 910, 1001, 1144, 1430, 1540, 1820, 2002, 2860, 3080, 3640, 4004, 5005, 5720, 8008, 10010, 20020

Step-4: Factors of 40054

List of positive integer factors of 40054 that divides 40040 without a remainder.

1, 2, 7, 14, 2861, 5722, 20027

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40040 and 40054. The biggest common factor number is the GCF number.
So the greatest common factor 40040 and 40054 is 14.

Also check out the Least Common Multiple of 40040 and 40054