What is the Greatest Common Factor of 40040 and 40056?

Greatest common factor (GCF) of 40040 and 40056 is 8.

GCF(40040,40056) = 8

We will now calculate the prime factors of 40040 and 40056, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40040 and 40056.

How to find the GCF of 40040 and 40056?

We will first find the prime factorization of 40040 and 40056. After we will calculate the factors of 40040 and 40056 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 40056

Prime factors of 40056 are 2, 3, 1669. Prime factorization of 40056 in exponential form is:

40056 = 2³ × 3¹ × 1669¹

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 40056

List of positive integer factors of 40056 that divides 40040 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 1669, 3338, 5007, 6676, 10014, 13352, 20028

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40040 and 40056. The biggest common factor number is the GCF number.
So the greatest common factor 40040 and 40056 is 8.

Also check out the Least Common Multiple of 40040 and 40056