What is the Greatest Common Factor of 55650 and 55655?

Greatest common factor (GCF) of 55650 and 55655 is 5.

GCF(55650,55655) = 5

We will now calculate the prime factors of 55650 and 55655, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55650 and 55655.

How to find the GCF of 55650 and 55655?

We will first find the prime factorization of 55650 and 55655. After we will calculate the factors of 55650 and 55655 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 55655

Prime factors of 55655 are 5, 11131. Prime factorization of 55655 in exponential form is:

55655 = 5¹ × 11131¹

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 55655

List of positive integer factors of 55655 that divides 55650 without a remainder.

1, 5, 11131

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55650 and 55655. The biggest common factor number is the GCF number.
So the greatest common factor 55650 and 55655 is 5.

Also check out the Least Common Multiple of 55650 and 55655