What is the Greatest Common Factor of 5452 and 5472?

Greatest common factor (GCF) of 5452 and 5472 is 4.

GCF(5452,5472) = 4

We will now calculate the prime factors of 5452 and 5472, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5452 and 5472.

How to find the GCF of 5452 and 5472?

We will first find the prime factorization of 5452 and 5472. After we will calculate the factors of 5452 and 5472 and find the biggest common factor number .

Step-1: Prime Factorization of 5452

Prime factors of 5452 are 2, 29, 47. Prime factorization of 5452 in exponential form is:

5452 = 2² × 29¹ × 47¹

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 5452

List of positive integer factors of 5452 that divides 5452 without a remainder.

1, 2, 4, 29, 47, 58, 94, 116, 188, 1363, 2726

Step-4: Factors of 5472

List of positive integer factors of 5472 that divides 5452 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 5452 and 5472. The biggest common factor number is the GCF number.
So the greatest common factor 5452 and 5472 is 4.

Also check out the Least Common Multiple of 5452 and 5472