What is the Greatest Common Factor of 55664 and 55684?

Greatest common factor (GCF) of 55664 and 55684 is 4.

GCF(55664,55684) = 4

We will now calculate the prime factors of 55664 and 55684, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55664 and 55684.

How to find the GCF of 55664 and 55684?

We will first find the prime factorization of 55664 and 55684. After we will calculate the factors of 55664 and 55684 and find the biggest common factor number .

Step-1: Prime Factorization of 55664

Prime factors of 55664 are 2, 7, 71. Prime factorization of 55664 in exponential form is:

55664 = 2⁴ × 7² × 71¹

Step-2: Prime Factorization of 55684

Prime factors of 55684 are 2, 13921. Prime factorization of 55684 in exponential form is:

55684 = 2² × 13921¹

Step-3: Factors of 55664

List of positive integer factors of 55664 that divides 55664 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 71, 98, 112, 142, 196, 284, 392, 497, 568, 784, 994, 1136, 1988, 3479, 3976, 6958, 7952, 13916, 27832

Step-4: Factors of 55684

List of positive integer factors of 55684 that divides 55664 without a remainder.

1, 2, 4, 13921, 27842

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55664 and 55684. The biggest common factor number is the GCF number.
So the greatest common factor 55664 and 55684 is 4.

Also check out the Least Common Multiple of 55664 and 55684