What is the Greatest Common Factor of 45543 and 45562?

Greatest common factor (GCF) of 45543 and 45562 is 19.

GCF(45543,45562) = 19

We will now calculate the prime factors of 45543 and 45562, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45543 and 45562.

How to find the GCF of 45543 and 45562?

We will first find the prime factorization of 45543 and 45562. After we will calculate the factors of 45543 and 45562 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 45562

Prime factors of 45562 are 2, 11, 19, 109. Prime factorization of 45562 in exponential form is:

45562 = 2¹ × 11¹ × 19¹ × 109¹

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 45562

List of positive integer factors of 45562 that divides 45543 without a remainder.

1, 2, 11, 19, 22, 38, 109, 209, 218, 418, 1199, 2071, 2398, 4142, 22781

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45543 and 45562. The biggest common factor number is the GCF number.
So the greatest common factor 45543 and 45562 is 19.

Also check out the Least Common Multiple of 45543 and 45562