What is the Greatest Common Factor of 5461 and 5480?

Greatest common factor (GCF) of 5461 and 5480 is 1.

GCF(5461,5480) = 1

We will now calculate the prime factors of 5461 and 5480, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5461 and 5480.

How to find the GCF of 5461 and 5480?

We will first find the prime factorization of 5461 and 5480. After we will calculate the factors of 5461 and 5480 and find the biggest common factor number .

Step-1: Prime Factorization of 5461

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

5461 = 43¹ × 127¹

Step-2: Prime Factorization of 5480

Prime factors of 5480 are 2, 5, 137. Prime factorization of 5480 in exponential form is:

5480 = 2³ × 5¹ × 137¹

Step-3: Factors of 5461

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

1, 43, 127

Step-4: Factors of 5480

List of positive integer factors of 5480 that divides 5461 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 137, 274, 548, 685, 1096, 1370, 2740

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5461 and 5480. The biggest common factor number is the GCF number.
So the greatest common factor 5461 and 5480 is 1.

Also check out the Least Common Multiple of 5461 and 5480