What is the Greatest Common Factor of 55490 and 55505?

Greatest common factor (GCF) of 55490 and 55505 is 5.

GCF(55490,55505) = 5

We will now calculate the prime factors of 55490 and 55505, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55490 and 55505.

How to find the GCF of 55490 and 55505?

We will first find the prime factorization of 55490 and 55505. After we will calculate the factors of 55490 and 55505 and find the biggest common factor number .

Step-1: Prime Factorization of 55490

Prime factors of 55490 are 2, 5, 31, 179. Prime factorization of 55490 in exponential form is:

55490 = 2¹ × 5¹ × 31¹ × 179¹

Step-2: 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-3: Factors of 55490

List of positive integer factors of 55490 that divides 55490 without a remainder.

1, 2, 5, 10, 31, 62, 155, 179, 310, 358, 895, 1790, 5549, 11098, 27745

Step-4: Factors of 55505

List of positive integer factors of 55505 that divides 55490 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55490 and 55505. The biggest common factor number is the GCF number.
So the greatest common factor 55490 and 55505 is 5.

Also check out the Least Common Multiple of 55490 and 55505