What is the Greatest Common Factor of 40703 and 40716?

Greatest common factor (GCF) of 40703 and 40716 is 13.

GCF(40703,40716) = 13

We will now calculate the prime factors of 40703 and 40716, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40703 and 40716.

How to find the GCF of 40703 and 40716?

We will first find the prime factorization of 40703 and 40716. After we will calculate the factors of 40703 and 40716 and find the biggest common factor number .

Step-1: Prime Factorization of 40703

Prime factors of 40703 are 13, 31, 101. Prime factorization of 40703 in exponential form is:

40703 = 13¹ × 31¹ × 101¹

Step-2: 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-3: Factors of 40703

List of positive integer factors of 40703 that divides 40703 without a remainder.

1, 13, 31, 101, 403, 1313, 3131

Step-4: Factors of 40716

List of positive integer factors of 40716 that divides 40703 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40703 and 40716. The biggest common factor number is the GCF number.
So the greatest common factor 40703 and 40716 is 13.

Also check out the Least Common Multiple of 40703 and 40716