What is the Greatest Common Factor of 5472 and 5488?

Greatest common factor (GCF) of 5472 and 5488 is 16.

GCF(5472,5488) = 16

We will now calculate the prime factors of 5472 and 5488, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5472 and 5488.

How to find the GCF of 5472 and 5488?

We will first find the prime factorization of 5472 and 5488. After we will calculate the factors of 5472 and 5488 and find the biggest common factor number .

Step-1: Prime Factorization of 5472

Prime factors of 5472 are 2, 3, 19. Prime factorization of 5472 in exponential form is:

5472 = 2⁵ × 3² × 19¹

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 5472

List of positive integer factors of 5472 that divides 5472 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 19, 24, 32, 36, 38, 48, 57, 72, 76, 96, 114, 144, 152, 171, 228, 288, 304, 342, 456, 608, 684, 912, 1368, 1824, 2736

Step-4: Factors of 5488

List of positive integer factors of 5488 that divides 5472 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 5472 and 5488. The biggest common factor number is the GCF number.
So the greatest common factor 5472 and 5488 is 16.

Also check out the Least Common Multiple of 5472 and 5488