What is the Greatest Common Factor of 40705 and 40716?

Greatest common factor (GCF) of 40705 and 40716 is 1.

GCF(40705,40716) = 1

We will now calculate the prime factors of 40705 and 40716, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40705 and 40716.

How to find the GCF of 40705 and 40716?

We will first find the prime factorization of 40705 and 40716. After we will calculate the factors of 40705 and 40716 and find the biggest common factor number .

Step-1: Prime Factorization of 40705

Prime factors of 40705 are 5, 7, 1163. Prime factorization of 40705 in exponential form is:

40705 = 5¹ × 7¹ × 1163¹

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 40705

List of positive integer factors of 40705 that divides 40705 without a remainder.

1, 5, 7, 35, 1163, 5815, 8141

Step-4: Factors of 40716

List of positive integer factors of 40716 that divides 40705 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 40705 and 40716. The biggest common factor number is the GCF number.
So the greatest common factor 40705 and 40716 is 1.

Also check out the Least Common Multiple of 40705 and 40716