What is the Greatest Common Factor of 55505 and 55522?

Greatest common factor (GCF) of 55505 and 55522 is 17.

GCF(55505,55522) = 17

We will now calculate the prime factors of 55505 and 55522, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55505 and 55522.

How to find the GCF of 55505 and 55522?

We will first find the prime factorization of 55505 and 55522. After we will calculate the factors of 55505 and 55522 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 55522

Prime factors of 55522 are 2, 17, 23, 71. Prime factorization of 55522 in exponential form is:

55522 = 2¹ × 17¹ × 23¹ × 71¹

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 55522

List of positive integer factors of 55522 that divides 55505 without a remainder.

1, 2, 17, 23, 34, 46, 71, 142, 391, 782, 1207, 1633, 2414, 3266, 27761

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55505 and 55522. The biggest common factor number is the GCF number.
So the greatest common factor 55505 and 55522 is 17.

Also check out the Least Common Multiple of 55505 and 55522