What is the Greatest Common Factor of 40040 and 40053?

Greatest common factor (GCF) of 40040 and 40053 is 13.

GCF(40040,40053) = 13

We will now calculate the prime factors of 40040 and 40053, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40040 and 40053.

How to find the GCF of 40040 and 40053?

We will first find the prime factorization of 40040 and 40053. After we will calculate the factors of 40040 and 40053 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 40053

Prime factors of 40053 are 3, 13, 79. Prime factorization of 40053 in exponential form is:

40053 = 3¹ × 13² × 79¹

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 40053

List of positive integer factors of 40053 that divides 40040 without a remainder.

1, 3, 13, 39, 79, 169, 237, 507, 1027, 3081, 13351

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40040 and 40053. The biggest common factor number is the GCF number.
So the greatest common factor 40040 and 40053 is 13.

Also check out the Least Common Multiple of 40040 and 40053