What is the Greatest Common Factor of 55664 and 55672?

Greatest common factor (GCF) of 55664 and 55672 is 8.

GCF(55664,55672) = 8

We will now calculate the prime factors of 55664 and 55672, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55664 and 55672.

How to find the GCF of 55664 and 55672?

We will first find the prime factorization of 55664 and 55672. After we will calculate the factors of 55664 and 55672 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 55672

Prime factors of 55672 are 2, 6959. Prime factorization of 55672 in exponential form is:

55672 = 2³ × 6959¹

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 55672

List of positive integer factors of 55672 that divides 55664 without a remainder.

1, 2, 4, 8, 6959, 13918, 27836

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55664 and 55672. The biggest common factor number is the GCF number.
So the greatest common factor 55664 and 55672 is 8.

Also check out the Least Common Multiple of 55664 and 55672