What is the Greatest Common Factor of 55605 and 55616?

Greatest common factor (GCF) of 55605 and 55616 is 11.

GCF(55605,55616) = 11

We will now calculate the prime factors of 55605 and 55616, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55605 and 55616.

How to find the GCF of 55605 and 55616?

We will first find the prime factorization of 55605 and 55616. After we will calculate the factors of 55605 and 55616 and find the biggest common factor number .

Step-1: Prime Factorization of 55605

Prime factors of 55605 are 3, 5, 11, 337. Prime factorization of 55605 in exponential form is:

55605 = 3¹ × 5¹ × 11¹ × 337¹

Step-2: Prime Factorization of 55616

Prime factors of 55616 are 2, 11, 79. Prime factorization of 55616 in exponential form is:

55616 = 2⁶ × 11¹ × 79¹

Step-3: Factors of 55605

List of positive integer factors of 55605 that divides 55605 without a remainder.

1, 3, 5, 11, 15, 33, 55, 165, 337, 1011, 1685, 3707, 5055, 11121, 18535

Step-4: Factors of 55616

List of positive integer factors of 55616 that divides 55605 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 79, 88, 158, 176, 316, 352, 632, 704, 869, 1264, 1738, 2528, 3476, 5056, 6952, 13904, 27808

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55605 and 55616. The biggest common factor number is the GCF number.
So the greatest common factor 55605 and 55616 is 11.

Also check out the Least Common Multiple of 55605 and 55616