What is the Greatest Common Factor of 61254 and 61262?

Greatest common factor (GCF) of 61254 and 61262 is 2.

GCF(61254,61262) = 2

We will now calculate the prime factors of 61254 and 61262, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61254 and 61262.

How to find the GCF of 61254 and 61262?

We will first find the prime factorization of 61254 and 61262. After we will calculate the factors of 61254 and 61262 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 61262

Prime factors of 61262 are 2, 30631. Prime factorization of 61262 in exponential form is:

61262 = 2¹ × 30631¹

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 61262

List of positive integer factors of 61262 that divides 61254 without a remainder.

1, 2, 30631

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61254 and 61262. The biggest common factor number is the GCF number.
So the greatest common factor 61254 and 61262 is 2.

Also check out the Least Common Multiple of 61254 and 61262