What is the Greatest Common Factor of 17035 and 17040?

Greatest common factor (GCF) of 17035 and 17040 is 5.

GCF(17035,17040) = 5

We will now calculate the prime factors of 17035 and 17040, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17035 and 17040.

How to find the GCF of 17035 and 17040?

We will first find the prime factorization of 17035 and 17040. After we will calculate the factors of 17035 and 17040 and find the biggest common factor number .

Step-1: Prime Factorization of 17035

Prime factors of 17035 are 5, 3407. Prime factorization of 17035 in exponential form is:

17035 = 5¹ × 3407¹

Step-2: Prime Factorization of 17040

Prime factors of 17040 are 2, 3, 5, 71. Prime factorization of 17040 in exponential form is:

17040 = 2⁴ × 3¹ × 5¹ × 71¹

Step-3: Factors of 17035

List of positive integer factors of 17035 that divides 17035 without a remainder.

1, 5, 3407

Step-4: Factors of 17040

List of positive integer factors of 17040 that divides 17035 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 71, 80, 120, 142, 213, 240, 284, 355, 426, 568, 710, 852, 1065, 1136, 1420, 1704, 2130, 2840, 3408, 4260, 5680, 8520

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17035 and 17040. The biggest common factor number is the GCF number.
So the greatest common factor 17035 and 17040 is 5.

Also check out the Least Common Multiple of 17035 and 17040