What is the Greatest Common Factor of 61238 and 61254?

Greatest common factor (GCF) of 61238 and 61254 is 2.

GCF(61238,61254) = 2

We will now calculate the prime factors of 61238 and 61254, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61238 and 61254.

How to find the GCF of 61238 and 61254?

We will first find the prime factorization of 61238 and 61254. After we will calculate the factors of 61238 and 61254 and find the biggest common factor number .

Step-1: Prime Factorization of 61238

Prime factors of 61238 are 2, 67, 457. Prime factorization of 61238 in exponential form is:

61238 = 2¹ × 67¹ × 457¹

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 61238

List of positive integer factors of 61238 that divides 61238 without a remainder.

1, 2, 67, 134, 457, 914, 30619

Step-4: Factors of 61254

List of positive integer factors of 61254 that divides 61238 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 61238 and 61254. The biggest common factor number is the GCF number.
So the greatest common factor 61238 and 61254 is 2.

Also check out the Least Common Multiple of 61238 and 61254