What is the Greatest Common Factor of 55505 and 55520?

Greatest common factor (GCF) of 55505 and 55520 is 5.

GCF(55505,55520) = 5

We will now calculate the prime factors of 55505 and 55520, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55505 and 55520.

How to find the GCF of 55505 and 55520?

We will first find the prime factorization of 55505 and 55520. After we will calculate the factors of 55505 and 55520 and find the biggest common factor number .

Step-1: Prime Factorization of 55505

Prime factors of 55505 are 5, 17, 653. Prime factorization of 55505 in exponential form is:

55505 = 5¹ × 17¹ × 653¹

Step-2: 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-3: Factors of 55505

List of positive integer factors of 55505 that divides 55505 without a remainder.

1, 5, 17, 85, 653, 3265, 11101

Step-4: Factors of 55520

List of positive integer factors of 55520 that divides 55505 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55505 and 55520. The biggest common factor number is the GCF number.
So the greatest common factor 55505 and 55520 is 5.

Also check out the Least Common Multiple of 55505 and 55520