What is the Greatest Common Factor of 33740 and 33758?

Greatest common factor (GCF) of 33740 and 33758 is 2.

GCF(33740,33758) = 2

We will now calculate the prime factors of 33740 and 33758, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33740 and 33758.

How to find the GCF of 33740 and 33758?

We will first find the prime factorization of 33740 and 33758. After we will calculate the factors of 33740 and 33758 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 33758

Prime factors of 33758 are 2, 16879. Prime factorization of 33758 in exponential form is:

33758 = 2¹ × 16879¹

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 33758

List of positive integer factors of 33758 that divides 33740 without a remainder.

1, 2, 16879

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33740 and 33758. The biggest common factor number is the GCF number.
So the greatest common factor 33740 and 33758 is 2.

Also check out the Least Common Multiple of 33740 and 33758