What is the Greatest Common Factor of 55650 and 55664?

Greatest common factor (GCF) of 55650 and 55664 is 14.

GCF(55650,55664) = 14

We will now calculate the prime factors of 55650 and 55664, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55650 and 55664.

How to find the GCF of 55650 and 55664?

We will first find the prime factorization of 55650 and 55664. After we will calculate the factors of 55650 and 55664 and find the biggest common factor number .

Step-1: Prime Factorization of 55650

Prime factors of 55650 are 2, 3, 5, 7, 53. Prime factorization of 55650 in exponential form is:

55650 = 2¹ × 3¹ × 5² × 7¹ × 53¹

Step-2: 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-3: Factors of 55650

List of positive integer factors of 55650 that divides 55650 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 25, 30, 35, 42, 50, 53, 70, 75, 105, 106, 150, 159, 175, 210, 265, 318, 350, 371, 525, 530, 742, 795, 1050, 1113, 1325, 1590, 1855, 2226, 2650, 3710, 3975, 5565, 7950, 9275, 11130, 18550, 27825

Step-4: Factors of 55664

List of positive integer factors of 55664 that divides 55650 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55650 and 55664. The biggest common factor number is the GCF number.
So the greatest common factor 55650 and 55664 is 14.

Also check out the Least Common Multiple of 55650 and 55664