What is the Greatest Common Factor of 34484 and 34502?

Greatest common factor (GCF) of 34484 and 34502 is 2.

GCF(34484,34502) = 2

We will now calculate the prime factors of 34484 and 34502, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34484 and 34502.

How to find the GCF of 34484 and 34502?

We will first find the prime factorization of 34484 and 34502. After we will calculate the factors of 34484 and 34502 and find the biggest common factor number .

Step-1: Prime Factorization of 34484

Prime factors of 34484 are 2, 37, 233. Prime factorization of 34484 in exponential form is:

34484 = 2² × 37¹ × 233¹

Step-2: Prime Factorization of 34502

Prime factors of 34502 are 2, 13, 1327. Prime factorization of 34502 in exponential form is:

34502 = 2¹ × 13¹ × 1327¹

Step-3: Factors of 34484

List of positive integer factors of 34484 that divides 34484 without a remainder.

1, 2, 4, 37, 74, 148, 233, 466, 932, 8621, 17242

Step-4: Factors of 34502

List of positive integer factors of 34502 that divides 34484 without a remainder.

1, 2, 13, 26, 1327, 2654, 17251

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34484 and 34502. The biggest common factor number is the GCF number.
So the greatest common factor 34484 and 34502 is 2.

Also check out the Least Common Multiple of 34484 and 34502