What is the Greatest Common Factor of 40040 and 40051?

Greatest common factor (GCF) of 40040 and 40051 is 11.

GCF(40040,40051) = 11

We will now calculate the prime factors of 40040 and 40051, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40040 and 40051.

How to find the GCF of 40040 and 40051?

We will first find the prime factorization of 40040 and 40051. After we will calculate the factors of 40040 and 40051 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 40051

Prime factors of 40051 are 11, 331. Prime factorization of 40051 in exponential form is:

40051 = 11² × 331¹

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 40051

List of positive integer factors of 40051 that divides 40040 without a remainder.

1, 11, 121, 331, 3641

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40040 and 40051. The biggest common factor number is the GCF number.
So the greatest common factor 40040 and 40051 is 11.

Also check out the Least Common Multiple of 40040 and 40051