What is the Greatest Common Factor of 61234 and 61254?

Greatest common factor (GCF) of 61234 and 61254 is 2.

GCF(61234,61254) = 2

We will now calculate the prime factors of 61234 and 61254, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61234 and 61254.

How to find the GCF of 61234 and 61254?

We will first find the prime factorization of 61234 and 61254. After we will calculate the factors of 61234 and 61254 and find the biggest common factor number .

Step-1: Prime Factorization of 61234

Prime factors of 61234 are 2, 17, 1801. Prime factorization of 61234 in exponential form is:

61234 = 2¹ × 17¹ × 1801¹

Step-2: Prime Factorization of 61254

Prime factors of 61254 are 2, 3, 41, 83. Prime factorization of 61254 in exponential form is:

61254 = 2¹ × 3² × 41¹ × 83¹

Step-3: Factors of 61234

List of positive integer factors of 61234 that divides 61234 without a remainder.

1, 2, 17, 34, 1801, 3602, 30617

Step-4: Factors of 61254

List of positive integer factors of 61254 that divides 61234 without a remainder.

1, 2, 3, 6, 9, 18, 41, 82, 83, 123, 166, 246, 249, 369, 498, 738, 747, 1494, 3403, 6806, 10209, 20418, 30627

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61234 and 61254. The biggest common factor number is the GCF number.
So the greatest common factor 61234 and 61254 is 2.

Also check out the Least Common Multiple of 61234 and 61254