What is the Greatest Common Factor of 55464 and 55476?

Greatest common factor (GCF) of 55464 and 55476 is 12.

GCF(55464,55476) = 12

We will now calculate the prime factors of 55464 and 55476, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55464 and 55476.

How to find the GCF of 55464 and 55476?

We will first find the prime factorization of 55464 and 55476. After we will calculate the factors of 55464 and 55476 and find the biggest common factor number .

Step-1: Prime Factorization of 55464

Prime factors of 55464 are 2, 3, 2311. Prime factorization of 55464 in exponential form is:

55464 = 2³ × 3¹ × 2311¹

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 55464

List of positive integer factors of 55464 that divides 55464 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 2311, 4622, 6933, 9244, 13866, 18488, 27732

Step-4: Factors of 55476

List of positive integer factors of 55476 that divides 55464 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 55464 and 55476. The biggest common factor number is the GCF number.
So the greatest common factor 55464 and 55476 is 12.

Also check out the Least Common Multiple of 55464 and 55476