What is the Greatest Common Factor of 45526 and 45543?

Greatest common factor (GCF) of 45526 and 45543 is 17.

GCF(45526,45543) = 17

We will now calculate the prime factors of 45526 and 45543, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45526 and 45543.

How to find the GCF of 45526 and 45543?

We will first find the prime factorization of 45526 and 45543. After we will calculate the factors of 45526 and 45543 and find the biggest common factor number .

Step-1: Prime Factorization of 45526

Prime factors of 45526 are 2, 13, 17, 103. Prime factorization of 45526 in exponential form is:

45526 = 2¹ × 13¹ × 17¹ × 103¹

Step-2: 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-3: Factors of 45526

List of positive integer factors of 45526 that divides 45526 without a remainder.

1, 2, 13, 17, 26, 34, 103, 206, 221, 442, 1339, 1751, 2678, 3502, 22763

Step-4: Factors of 45543

List of positive integer factors of 45543 that divides 45526 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45526 and 45543. The biggest common factor number is the GCF number.
So the greatest common factor 45526 and 45543 is 17.

Also check out the Least Common Multiple of 45526 and 45543