What is the Greatest Common Factor of 5450 and 5461?

Greatest common factor (GCF) of 5450 and 5461 is 1.

GCF(5450,5461) = 1

We will now calculate the prime factors of 5450 and 5461, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5450 and 5461.

How to find the GCF of 5450 and 5461?

We will first find the prime factorization of 5450 and 5461. After we will calculate the factors of 5450 and 5461 and find the biggest common factor number .

Step-1: Prime Factorization of 5450

Prime factors of 5450 are 2, 5, 109. Prime factorization of 5450 in exponential form is:

5450 = 2¹ × 5² × 109¹

Step-2: Prime Factorization of 5461

Prime factors of 5461 are 43, 127. Prime factorization of 5461 in exponential form is:

5461 = 43¹ × 127¹

Step-3: Factors of 5450

List of positive integer factors of 5450 that divides 5450 without a remainder.

1, 2, 5, 10, 25, 50, 109, 218, 545, 1090, 2725

Step-4: Factors of 5461

List of positive integer factors of 5461 that divides 5450 without a remainder.

1, 43, 127

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5450 and 5461. The biggest common factor number is the GCF number.
So the greatest common factor 5450 and 5461 is 1.

Also check out the Least Common Multiple of 5450 and 5461