What is the Greatest Common Factor of 45348 and 45360?

Greatest common factor (GCF) of 45348 and 45360 is 12.

GCF(45348,45360) = 12

We will now calculate the prime factors of 45348 and 45360, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45348 and 45360.

How to find the GCF of 45348 and 45360?

We will first find the prime factorization of 45348 and 45360. After we will calculate the factors of 45348 and 45360 and find the biggest common factor number .

Step-1: Prime Factorization of 45348

Prime factors of 45348 are 2, 3, 3779. Prime factorization of 45348 in exponential form is:

45348 = 2² × 3¹ × 3779¹

Step-2: Prime Factorization of 45360

Prime factors of 45360 are 2, 3, 5, 7. Prime factorization of 45360 in exponential form is:

45360 = 2⁴ × 3⁴ × 5¹ × 7¹

Step-3: Factors of 45348

List of positive integer factors of 45348 that divides 45348 without a remainder.

1, 2, 3, 4, 6, 12, 3779, 7558, 11337, 15116, 22674

Step-4: Factors of 45360

List of positive integer factors of 45360 that divides 45348 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 24, 27, 28, 30, 35, 36, 40, 42, 45, 48, 54, 56, 60, 63, 70, 72, 80, 81, 84, 90, 105, 108, 112, 120, 126, 135, 140, 144, 162, 168, 180, 189, 210, 216, 240, 252, 270, 280, 315, 324, 336, 360, 378, 405, 420, 432, 504, 540, 560, 567, 630, 648, 720, 756, 810, 840, 945, 1008, 1080, 1134, 1260, 1296, 1512, 1620, 1680, 1890, 2160, 2268, 2520, 2835, 3024, 3240, 3780, 4536, 5040, 5670, 6480, 7560, 9072, 11340, 15120, 22680

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45348 and 45360. The biggest common factor number is the GCF number.
So the greatest common factor 45348 and 45360 is 12.

Also check out the Least Common Multiple of 45348 and 45360