What is the Greatest Common Factor of 34023 and 34034?

Greatest common factor (GCF) of 34023 and 34034 is 11.

GCF(34023,34034) = 11

We will now calculate the prime factors of 34023 and 34034, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34023 and 34034.

How to find the GCF of 34023 and 34034?

We will first find the prime factorization of 34023 and 34034. After we will calculate the factors of 34023 and 34034 and find the biggest common factor number .

Step-1: Prime Factorization of 34023

Prime factors of 34023 are 3, 11, 1031. Prime factorization of 34023 in exponential form is:

34023 = 3¹ × 11¹ × 1031¹

Step-2: 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-3: Factors of 34023

List of positive integer factors of 34023 that divides 34023 without a remainder.

1, 3, 11, 33, 1031, 3093, 11341

Step-4: Factors of 34034

List of positive integer factors of 34034 that divides 34023 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34023 and 34034. The biggest common factor number is the GCF number.
So the greatest common factor 34023 and 34034 is 11.

Also check out the Least Common Multiple of 34023 and 34034