What is the Greatest Common Factor of 55520 and 55530?

Greatest common factor (GCF) of 55520 and 55530 is 10.

GCF(55520,55530) = 10

We will now calculate the prime factors of 55520 and 55530, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55520 and 55530.

How to find the GCF of 55520 and 55530?

We will first find the prime factorization of 55520 and 55530. After we will calculate the factors of 55520 and 55530 and find the biggest common factor number .

Step-1: Prime Factorization of 55520

Prime factors of 55520 are 2, 5, 347. Prime factorization of 55520 in exponential form is:

55520 = 2⁵ × 5¹ × 347¹

Step-2: 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-3: Factors of 55520

List of positive integer factors of 55520 that divides 55520 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160, 347, 694, 1388, 1735, 2776, 3470, 5552, 6940, 11104, 13880, 27760

Step-4: Factors of 55530

List of positive integer factors of 55530 that divides 55520 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55520 and 55530. The biggest common factor number is the GCF number.
So the greatest common factor 55520 and 55530 is 10.

Also check out the Least Common Multiple of 55520 and 55530