What is the Greatest Common Factor of 34034 and 34040?

Greatest common factor (GCF) of 34034 and 34040 is 2.

GCF(34034,34040) = 2

We will now calculate the prime factors of 34034 and 34040, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34034 and 34040.

How to find the GCF of 34034 and 34040?

We will first find the prime factorization of 34034 and 34040. After we will calculate the factors of 34034 and 34040 and find the biggest common factor number .

Step-1: Prime Factorization of 34034

Prime factors of 34034 are 2, 7, 11, 13, 17. Prime factorization of 34034 in exponential form is:

34034 = 2¹ × 7¹ × 11¹ × 13¹ × 17¹

Step-2: Prime Factorization of 34040

Prime factors of 34040 are 2, 5, 23, 37. Prime factorization of 34040 in exponential form is:

34040 = 2³ × 5¹ × 23¹ × 37¹

Step-3: Factors of 34034

List of positive integer factors of 34034 that divides 34034 without a remainder.

1, 2, 7, 11, 13, 14, 17, 22, 26, 34, 77, 91, 119, 143, 154, 182, 187, 221, 238, 286, 374, 442, 1001, 1309, 1547, 2002, 2431, 2618, 3094, 4862, 17017

Step-4: Factors of 34040

List of positive integer factors of 34040 that divides 34034 without a remainder.

1, 2, 4, 5, 8, 10, 20, 23, 37, 40, 46, 74, 92, 115, 148, 184, 185, 230, 296, 370, 460, 740, 851, 920, 1480, 1702, 3404, 4255, 6808, 8510, 17020

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34034 and 34040. The biggest common factor number is the GCF number.
So the greatest common factor 34034 and 34040 is 2.

Also check out the Least Common Multiple of 34034 and 34040