What is the Greatest Common Factor of 5453 and 5472?

Greatest common factor (GCF) of 5453 and 5472 is 19.

GCF(5453,5472) = 19

We will now calculate the prime factors of 5453 and 5472, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5453 and 5472.

How to find the GCF of 5453 and 5472?

We will first find the prime factorization of 5453 and 5472. After we will calculate the factors of 5453 and 5472 and find the biggest common factor number .

Step-1: Prime Factorization of 5453

Prime factors of 5453 are 7, 19, 41. Prime factorization of 5453 in exponential form is:

5453 = 7¹ × 19¹ × 41¹

Step-2: 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-3: Factors of 5453

List of positive integer factors of 5453 that divides 5453 without a remainder.

1, 7, 19, 41, 133, 287, 779

Step-4: Factors of 5472

List of positive integer factors of 5472 that divides 5453 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5453 and 5472. The biggest common factor number is the GCF number.
So the greatest common factor 5453 and 5472 is 19.

Also check out the Least Common Multiple of 5453 and 5472