What is the Greatest Common Factor of 34034 and 34045?

Greatest common factor (GCF) of 34034 and 34045 is 11.

GCF(34034,34045) = 11

We will now calculate the prime factors of 34034 and 34045, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34034 and 34045.

How to find the GCF of 34034 and 34045?

We will first find the prime factorization of 34034 and 34045. After we will calculate the factors of 34034 and 34045 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 34045

Prime factors of 34045 are 5, 11, 619. Prime factorization of 34045 in exponential form is:

34045 = 5¹ × 11¹ × 619¹

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 34045

List of positive integer factors of 34045 that divides 34034 without a remainder.

1, 5, 11, 55, 619, 3095, 6809

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34034 and 34045. The biggest common factor number is the GCF number.
So the greatest common factor 34034 and 34045 is 11.

Also check out the Least Common Multiple of 34034 and 34045