What is the Greatest Common Factor of 55530 and 55538?

Greatest common factor (GCF) of 55530 and 55538 is 2.

GCF(55530,55538) = 2

We will now calculate the prime factors of 55530 and 55538, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55530 and 55538.

How to find the GCF of 55530 and 55538?

We will first find the prime factorization of 55530 and 55538. After we will calculate the factors of 55530 and 55538 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 55538

Prime factors of 55538 are 2, 7, 3967. Prime factorization of 55538 in exponential form is:

55538 = 2¹ × 7¹ × 3967¹

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 55538

List of positive integer factors of 55538 that divides 55530 without a remainder.

1, 2, 7, 14, 3967, 7934, 27769

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55530 and 55538. The biggest common factor number is the GCF number.
So the greatest common factor 55530 and 55538 is 2.

Also check out the Least Common Multiple of 55530 and 55538