What is the Greatest Common Factor of 33740 and 33745?

Greatest common factor (GCF) of 33740 and 33745 is 5.

GCF(33740,33745) = 5

We will now calculate the prime factors of 33740 and 33745, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33740 and 33745.

How to find the GCF of 33740 and 33745?

We will first find the prime factorization of 33740 and 33745. After we will calculate the factors of 33740 and 33745 and find the biggest common factor number .

Step-1: Prime Factorization of 33740

Prime factors of 33740 are 2, 5, 7, 241. Prime factorization of 33740 in exponential form is:

33740 = 2² × 5¹ × 7¹ × 241¹

Step-2: Prime Factorization of 33745

Prime factors of 33745 are 5, 17, 397. Prime factorization of 33745 in exponential form is:

33745 = 5¹ × 17¹ × 397¹

Step-3: Factors of 33740

List of positive integer factors of 33740 that divides 33740 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140, 241, 482, 964, 1205, 1687, 2410, 3374, 4820, 6748, 8435, 16870

Step-4: Factors of 33745

List of positive integer factors of 33745 that divides 33740 without a remainder.

1, 5, 17, 85, 397, 1985, 6749

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33740 and 33745. The biggest common factor number is the GCF number.
So the greatest common factor 33740 and 33745 is 5.

Also check out the Least Common Multiple of 33740 and 33745