What is the Greatest Common Factor of 55458 and 55476?

Greatest common factor (GCF) of 55458 and 55476 is 18.

GCF(55458,55476) = 18

We will now calculate the prime factors of 55458 and 55476, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55458 and 55476.

How to find the GCF of 55458 and 55476?

We will first find the prime factorization of 55458 and 55476. After we will calculate the factors of 55458 and 55476 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 55476

Prime factors of 55476 are 2, 3, 23, 67. Prime factorization of 55476 in exponential form is:

55476 = 2² × 3² × 23¹ × 67¹

Step-3: Factors of 55458

List of positive integer factors of 55458 that divides 55458 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

Step-4: Factors of 55476

List of positive integer factors of 55476 that divides 55458 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 67, 69, 92, 134, 138, 201, 207, 268, 276, 402, 414, 603, 804, 828, 1206, 1541, 2412, 3082, 4623, 6164, 9246, 13869, 18492, 27738

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55458 and 55476. The biggest common factor number is the GCF number.
So the greatest common factor 55458 and 55476 is 18.

Also check out the Least Common Multiple of 55458 and 55476