What is the Greatest Common Factor of 55530 and 55540?

Greatest common factor (GCF) of 55530 and 55540 is 10.

GCF(55530,55540) = 10

We will now calculate the prime factors of 55530 and 55540, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55530 and 55540.

How to find the GCF of 55530 and 55540?

We will first find the prime factorization of 55530 and 55540. After we will calculate the factors of 55530 and 55540 and find the biggest common factor number .

Step-1: Prime Factorization of 55530

Prime factors of 55530 are 2, 3, 5, 617. Prime factorization of 55530 in exponential form is:

55530 = 2¹ × 3² × 5¹ × 617¹

Step-2: Prime Factorization of 55540

Prime factors of 55540 are 2, 5, 2777. Prime factorization of 55540 in exponential form is:

55540 = 2² × 5¹ × 2777¹

Step-3: Factors of 55530

List of positive integer factors of 55530 that divides 55530 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 617, 1234, 1851, 3085, 3702, 5553, 6170, 9255, 11106, 18510, 27765

Step-4: Factors of 55540

List of positive integer factors of 55540 that divides 55530 without a remainder.

1, 2, 4, 5, 10, 20, 2777, 5554, 11108, 13885, 27770

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55530 and 55540. The biggest common factor number is the GCF number.
So the greatest common factor 55530 and 55540 is 10.

Also check out the Least Common Multiple of 55530 and 55540