What is the Greatest Common Factor of 55636 and 55650?

Greatest common factor (GCF) of 55636 and 55650 is 14.

GCF(55636,55650) = 14

We will now calculate the prime factors of 55636 and 55650, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55636 and 55650.

How to find the GCF of 55636 and 55650?

We will first find the prime factorization of 55636 and 55650. After we will calculate the factors of 55636 and 55650 and find the biggest common factor number .

Step-1: Prime Factorization of 55636

Prime factors of 55636 are 2, 7, 1987. Prime factorization of 55636 in exponential form is:

55636 = 2² × 7¹ × 1987¹

Step-2: 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-3: Factors of 55636

List of positive integer factors of 55636 that divides 55636 without a remainder.

1, 2, 4, 7, 14, 28, 1987, 3974, 7948, 13909, 27818

Step-4: Factors of 55650

List of positive integer factors of 55650 that divides 55636 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55636 and 55650. The biggest common factor number is the GCF number.
So the greatest common factor 55636 and 55650 is 14.

Also check out the Least Common Multiple of 55636 and 55650