What is the Greatest Common Factor of 5475 and 5480?

Greatest common factor (GCF) of 5475 and 5480 is 5.

GCF(5475,5480) = 5

We will now calculate the prime factors of 5475 and 5480, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5475 and 5480.

How to find the GCF of 5475 and 5480?

We will first find the prime factorization of 5475 and 5480. After we will calculate the factors of 5475 and 5480 and find the biggest common factor number .

Step-1: Prime Factorization of 5475

Prime factors of 5475 are 3, 5, 73. Prime factorization of 5475 in exponential form is:

5475 = 3¹ × 5² × 73¹

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 5475

List of positive integer factors of 5475 that divides 5475 without a remainder.

1, 3, 5, 15, 25, 73, 75, 219, 365, 1095, 1825

Step-4: Factors of 5480

List of positive integer factors of 5480 that divides 5475 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 5475 and 5480. The biggest common factor number is the GCF number.
So the greatest common factor 5475 and 5480 is 5.

Also check out the Least Common Multiple of 5475 and 5480