What is the Greatest Common Factor of 61254 and 61271?

Greatest common factor (GCF) of 61254 and 61271 is 1.

GCF(61254,61271) = 1

We will now calculate the prime factors of 61254 and 61271, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61254 and 61271.

How to find the GCF of 61254 and 61271?

We will first find the prime factorization of 61254 and 61271. After we will calculate the factors of 61254 and 61271 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 61271

Prime factors of 61271 are 7, 8753. Prime factorization of 61271 in exponential form is:

61271 = 7¹ × 8753¹

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 61271

List of positive integer factors of 61271 that divides 61254 without a remainder.

1, 7, 8753

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61254 and 61271. The biggest common factor number is the GCF number.
So the greatest common factor 61254 and 61271 is 1.

Also check out the Least Common Multiple of 61254 and 61271