What is the Greatest Common Factor of 5481 and 5488?

Greatest common factor (GCF) of 5481 and 5488 is 7.

GCF(5481,5488) = 7

We will now calculate the prime factors of 5481 and 5488, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5481 and 5488.

How to find the GCF of 5481 and 5488?

We will first find the prime factorization of 5481 and 5488. After we will calculate the factors of 5481 and 5488 and find the biggest common factor number .

Step-1: Prime Factorization of 5481

Prime factors of 5481 are 3, 7, 29. Prime factorization of 5481 in exponential form is:

5481 = 3³ × 7¹ × 29¹

Step-2: Prime Factorization of 5488

Prime factors of 5488 are 2, 7. Prime factorization of 5488 in exponential form is:

5488 = 2⁴ × 7³

Step-3: Factors of 5481

List of positive integer factors of 5481 that divides 5481 without a remainder.

1, 3, 7, 9, 21, 27, 29, 63, 87, 189, 203, 261, 609, 783, 1827

Step-4: Factors of 5488

List of positive integer factors of 5488 that divides 5481 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 343, 392, 686, 784, 1372, 2744

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5481 and 5488. The biggest common factor number is the GCF number.
So the greatest common factor 5481 and 5488 is 7.

Also check out the Least Common Multiple of 5481 and 5488