What is the Greatest Common Factor of 40716 and 40730?

Greatest common factor (GCF) of 40716 and 40730 is 2.

GCF(40716,40730) = 2

We will now calculate the prime factors of 40716 and 40730, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40716 and 40730.

How to find the GCF of 40716 and 40730?

We will first find the prime factorization of 40716 and 40730. After we will calculate the factors of 40716 and 40730 and find the biggest common factor number .

Step-1: Prime Factorization of 40716

Prime factors of 40716 are 2, 3, 13, 29. Prime factorization of 40716 in exponential form is:

40716 = 2² × 3³ × 13¹ × 29¹

Step-2: Prime Factorization of 40730

Prime factors of 40730 are 2, 5, 4073. Prime factorization of 40730 in exponential form is:

40730 = 2¹ × 5¹ × 4073¹

Step-3: Factors of 40716

List of positive integer factors of 40716 that divides 40716 without a remainder.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 27, 29, 36, 39, 52, 54, 58, 78, 87, 108, 116, 117, 156, 174, 234, 261, 348, 351, 377, 468, 522, 702, 754, 783, 1044, 1131, 1404, 1508, 1566, 2262, 3132, 3393, 4524, 6786, 10179, 13572, 20358

Step-4: Factors of 40730

List of positive integer factors of 40730 that divides 40716 without a remainder.

1, 2, 5, 10, 4073, 8146, 20365

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40716 and 40730. The biggest common factor number is the GCF number.
So the greatest common factor 40716 and 40730 is 2.

Also check out the Least Common Multiple of 40716 and 40730