What is the Greatest Common Factor of 61254 and 61258?

Greatest common factor (GCF) of 61254 and 61258 is 2.

GCF(61254,61258) = 2

We will now calculate the prime factors of 61254 and 61258, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61254 and 61258.

How to find the GCF of 61254 and 61258?

We will first find the prime factorization of 61254 and 61258. After we will calculate the factors of 61254 and 61258 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 61258

Prime factors of 61258 are 2, 109, 281. Prime factorization of 61258 in exponential form is:

61258 = 2¹ × 109¹ × 281¹

Step-3: Factors of 61254

List of positive integer factors of 61254 that divides 61254 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

Step-4: Factors of 61258

List of positive integer factors of 61258 that divides 61254 without a remainder.

1, 2, 109, 218, 281, 562, 30629

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61254 and 61258. The biggest common factor number is the GCF number.
So the greatest common factor 61254 and 61258 is 2.

Also check out the Least Common Multiple of 61254 and 61258