What is the Greatest Common Factor of 45903 and 45917?

Greatest common factor (GCF) of 45903 and 45917 is 1.

GCF(45903,45917) = 1

We will now calculate the prime factors of 45903 and 45917, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45903 and 45917.

How to find the GCF of 45903 and 45917?

We will first find the prime factorization of 45903 and 45917. After we will calculate the factors of 45903 and 45917 and find the biggest common factor number .

Step-1: Prime Factorization of 45903

Prime factors of 45903 are 3, 11, 13, 107. Prime factorization of 45903 in exponential form is:

45903 = 3¹ × 11¹ × 13¹ × 107¹

Step-2: Prime Factorization of 45917

Prime factors of 45917 are 17, 37, 73. Prime factorization of 45917 in exponential form is:

45917 = 17¹ × 37¹ × 73¹

Step-3: Factors of 45903

List of positive integer factors of 45903 that divides 45903 without a remainder.

1, 3, 11, 13, 33, 39, 107, 143, 321, 429, 1177, 1391, 3531, 4173, 15301

Step-4: Factors of 45917

List of positive integer factors of 45917 that divides 45903 without a remainder.

1, 17, 37, 73, 629, 1241, 2701

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45903 and 45917. The biggest common factor number is the GCF number.
So the greatest common factor 45903 and 45917 is 1.

Also check out the Least Common Multiple of 45903 and 45917