What is the Greatest Common Factor of 34490 and 34502?

Greatest common factor (GCF) of 34490 and 34502 is 2.

GCF(34490,34502) = 2

We will now calculate the prime factors of 34490 and 34502, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34490 and 34502.

How to find the GCF of 34490 and 34502?

We will first find the prime factorization of 34490 and 34502. After we will calculate the factors of 34490 and 34502 and find the biggest common factor number .

Step-1: Prime Factorization of 34490

Prime factors of 34490 are 2, 5, 3449. Prime factorization of 34490 in exponential form is:

34490 = 2¹ × 5¹ × 3449¹

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 34490

List of positive integer factors of 34490 that divides 34490 without a remainder.

1, 2, 5, 10, 3449, 6898, 17245

Step-4: Factors of 34502

List of positive integer factors of 34502 that divides 34490 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34490 and 34502. The biggest common factor number is the GCF number.
So the greatest common factor 34490 and 34502 is 2.

Also check out the Least Common Multiple of 34490 and 34502