What is the Greatest Common Factor of 45318 and 45331?

Greatest common factor (GCF) of 45318 and 45331 is 13.

GCF(45318,45331) = 13

We will now calculate the prime factors of 45318 and 45331, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45318 and 45331.

How to find the GCF of 45318 and 45331?

We will first find the prime factorization of 45318 and 45331. After we will calculate the factors of 45318 and 45331 and find the biggest common factor number .

Step-1: Prime Factorization of 45318

Prime factors of 45318 are 2, 3, 7, 13, 83. Prime factorization of 45318 in exponential form is:

45318 = 2¹ × 3¹ × 7¹ × 13¹ × 83¹

Step-2: Prime Factorization of 45331

Prime factors of 45331 are 11, 13, 317. Prime factorization of 45331 in exponential form is:

45331 = 11¹ × 13¹ × 317¹

Step-3: Factors of 45318

List of positive integer factors of 45318 that divides 45318 without a remainder.

1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 83, 91, 166, 182, 249, 273, 498, 546, 581, 1079, 1162, 1743, 2158, 3237, 3486, 6474, 7553, 15106, 22659

Step-4: Factors of 45331

List of positive integer factors of 45331 that divides 45318 without a remainder.

1, 11, 13, 143, 317, 3487, 4121

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45318 and 45331. The biggest common factor number is the GCF number.
So the greatest common factor 45318 and 45331 is 13.

Also check out the Least Common Multiple of 45318 and 45331