What is the Greatest Common Factor of 55506 and 55520?

Greatest common factor (GCF) of 55506 and 55520 is 2.

GCF(55506,55520) = 2

We will now calculate the prime factors of 55506 and 55520, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55506 and 55520.

How to find the GCF of 55506 and 55520?

We will first find the prime factorization of 55506 and 55520. After we will calculate the factors of 55506 and 55520 and find the biggest common factor number .

Step-1: Prime Factorization of 55506

Prime factors of 55506 are 2, 3, 11, 29. Prime factorization of 55506 in exponential form is:

55506 = 2¹ × 3¹ × 11¹ × 29²

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 55506

List of positive integer factors of 55506 that divides 55506 without a remainder.

1, 2, 3, 6, 11, 22, 29, 33, 58, 66, 87, 174, 319, 638, 841, 957, 1682, 1914, 2523, 5046, 9251, 18502, 27753

Step-4: Factors of 55520

List of positive integer factors of 55520 that divides 55506 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 55506 and 55520. The biggest common factor number is the GCF number.
So the greatest common factor 55506 and 55520 is 2.

Also check out the Least Common Multiple of 55506 and 55520