What is the Greatest Common Factor of 40034 and 40040?

Greatest common factor (GCF) of 40034 and 40040 is 2.

GCF(40034,40040) = 2

We will now calculate the prime factors of 40034 and 40040, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40034 and 40040.

How to find the GCF of 40034 and 40040?

We will first find the prime factorization of 40034 and 40040. After we will calculate the factors of 40034 and 40040 and find the biggest common factor number .

Step-1: Prime Factorization of 40034

Prime factors of 40034 are 2, 37, 541. Prime factorization of 40034 in exponential form is:

40034 = 2¹ × 37¹ × 541¹

Step-2: 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-3: Factors of 40034

List of positive integer factors of 40034 that divides 40034 without a remainder.

1, 2, 37, 74, 541, 1082, 20017

Step-4: Factors of 40040

List of positive integer factors of 40040 that divides 40034 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40034 and 40040. The biggest common factor number is the GCF number.
So the greatest common factor 40034 and 40040 is 2.

Also check out the Least Common Multiple of 40034 and 40040