What is the Greatest Common Factor of 55452 and 55460?

Greatest common factor (GCF) of 55452 and 55460 is 4.

GCF(55452,55460) = 4

We will now calculate the prime factors of 55452 and 55460, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55452 and 55460.

How to find the GCF of 55452 and 55460?

We will first find the prime factorization of 55452 and 55460. After we will calculate the factors of 55452 and 55460 and find the biggest common factor number .

Step-1: Prime Factorization of 55452

Prime factors of 55452 are 2, 3, 4621. Prime factorization of 55452 in exponential form is:

55452 = 2² × 3¹ × 4621¹

Step-2: Prime Factorization of 55460

Prime factors of 55460 are 2, 5, 47, 59. Prime factorization of 55460 in exponential form is:

55460 = 2² × 5¹ × 47¹ × 59¹

Step-3: Factors of 55452

List of positive integer factors of 55452 that divides 55452 without a remainder.

1, 2, 3, 4, 6, 12, 4621, 9242, 13863, 18484, 27726

Step-4: Factors of 55460

List of positive integer factors of 55460 that divides 55452 without a remainder.

1, 2, 4, 5, 10, 20, 47, 59, 94, 118, 188, 235, 236, 295, 470, 590, 940, 1180, 2773, 5546, 11092, 13865, 27730

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55452 and 55460. The biggest common factor number is the GCF number.
So the greatest common factor 55452 and 55460 is 4.

Also check out the Least Common Multiple of 55452 and 55460