What is the Greatest Common Factor of 40705 and 40710?

Greatest common factor (GCF) of 40705 and 40710 is 5.

GCF(40705,40710) = 5

We will now calculate the prime factors of 40705 and 40710, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40705 and 40710.

How to find the GCF of 40705 and 40710?

We will first find the prime factorization of 40705 and 40710. After we will calculate the factors of 40705 and 40710 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 40710

Prime factors of 40710 are 2, 3, 5, 23, 59. Prime factorization of 40710 in exponential form is:

40710 = 2¹ × 3¹ × 5¹ × 23¹ × 59¹

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 40710

List of positive integer factors of 40710 that divides 40705 without a remainder.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 59, 69, 115, 118, 138, 177, 230, 295, 345, 354, 590, 690, 885, 1357, 1770, 2714, 4071, 6785, 8142, 13570, 20355

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40705 and 40710. The biggest common factor number is the GCF number.
So the greatest common factor 40705 and 40710 is 5.

Also check out the Least Common Multiple of 40705 and 40710