What is the Greatest Common Factor of 34469 and 34488?

Greatest common factor (GCF) of 34469 and 34488 is 1.

GCF(34469,34488) = 1

We will now calculate the prime factors of 34469 and 34488, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34469 and 34488.

How to find the GCF of 34469 and 34488?

We will first find the prime factorization of 34469 and 34488. After we will calculate the factors of 34469 and 34488 and find the biggest common factor number .

Step-1: Prime Factorization of 34469

Prime factors of 34469 are 34469. Prime factorization of 34469 in exponential form is:

34469 = 34469¹

Step-2: Prime Factorization of 34488

Prime factors of 34488 are 2, 3, 479. Prime factorization of 34488 in exponential form is:

34488 = 2³ × 3² × 479¹

Step-3: Factors of 34469

List of positive integer factors of 34469 that divides 34469 without a remainder.

Step-4: Factors of 34488

List of positive integer factors of 34488 that divides 34469 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 479, 958, 1437, 1916, 2874, 3832, 4311, 5748, 8622, 11496, 17244

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34469 and 34488. The biggest common factor number is the GCF number.
So the greatest common factor 34469 and 34488 is 1.

Also check out the Least Common Multiple of 34469 and 34488