What is the Greatest Common Factor of 45543 and 45560?

Greatest common factor (GCF) of 45543 and 45560 is 17.

GCF(45543,45560) = 17

We will now calculate the prime factors of 45543 and 45560, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45543 and 45560.

How to find the GCF of 45543 and 45560?

We will first find the prime factorization of 45543 and 45560. After we will calculate the factors of 45543 and 45560 and find the biggest common factor number .

Step-1: Prime Factorization of 45543

Prime factors of 45543 are 3, 17, 19, 47. Prime factorization of 45543 in exponential form is:

45543 = 3¹ × 17¹ × 19¹ × 47¹

Step-2: Prime Factorization of 45560

Prime factors of 45560 are 2, 5, 17, 67. Prime factorization of 45560 in exponential form is:

45560 = 2³ × 5¹ × 17¹ × 67¹

Step-3: Factors of 45543

List of positive integer factors of 45543 that divides 45543 without a remainder.

1, 3, 17, 19, 47, 51, 57, 141, 323, 799, 893, 969, 2397, 2679, 15181

Step-4: Factors of 45560

List of positive integer factors of 45560 that divides 45543 without a remainder.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 67, 68, 85, 134, 136, 170, 268, 335, 340, 536, 670, 680, 1139, 1340, 2278, 2680, 4556, 5695, 9112, 11390, 22780

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45543 and 45560. The biggest common factor number is the GCF number.
So the greatest common factor 45543 and 45560 is 17.

Also check out the Least Common Multiple of 45543 and 45560