What is the Greatest Common Factor of 55452 and 55458?

Greatest common factor (GCF) of 55452 and 55458 is 6.

GCF(55452,55458) = 6

We will now calculate the prime factors of 55452 and 55458, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55452 and 55458.

How to find the GCF of 55452 and 55458?

We will first find the prime factorization of 55452 and 55458. After we will calculate the factors of 55452 and 55458 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 55458

Prime factors of 55458 are 2, 3, 13, 79. Prime factorization of 55458 in exponential form is:

55458 = 2¹ × 3³ × 13¹ × 79¹

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 55458

List of positive integer factors of 55458 that divides 55452 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 79, 117, 158, 234, 237, 351, 474, 702, 711, 1027, 1422, 2054, 2133, 3081, 4266, 6162, 9243, 18486, 27729

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55452 and 55458. The biggest common factor number is the GCF number.
So the greatest common factor 55452 and 55458 is 6.

Also check out the Least Common Multiple of 55452 and 55458