What is the Greatest Common Factor of 55656 and 55674?

Greatest common factor (GCF) of 55656 and 55674 is 18.

GCF(55656,55674) = 18

We will now calculate the prime factors of 55656 and 55674, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55656 and 55674.

How to find the GCF of 55656 and 55674?

We will first find the prime factorization of 55656 and 55674. After we will calculate the factors of 55656 and 55674 and find the biggest common factor number .

Step-1: Prime Factorization of 55656

Prime factors of 55656 are 2, 3, 773. Prime factorization of 55656 in exponential form is:

55656 = 2³ × 3² × 773¹

Step-2: Prime Factorization of 55674

Prime factors of 55674 are 2, 3, 1031. Prime factorization of 55674 in exponential form is:

55674 = 2¹ × 3³ × 1031¹

Step-3: Factors of 55656

List of positive integer factors of 55656 that divides 55656 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 773, 1546, 2319, 3092, 4638, 6184, 6957, 9276, 13914, 18552, 27828

Step-4: Factors of 55674

List of positive integer factors of 55674 that divides 55656 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 1031, 2062, 3093, 6186, 9279, 18558, 27837

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55656 and 55674. The biggest common factor number is the GCF number.
So the greatest common factor 55656 and 55674 is 18.

Also check out the Least Common Multiple of 55656 and 55674