What is the Greatest Common Factor of 45353 and 45360?

Greatest common factor (GCF) of 45353 and 45360 is 7.

GCF(45353,45360) = 7

We will now calculate the prime factors of 45353 and 45360, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45353 and 45360.

How to find the GCF of 45353 and 45360?

We will first find the prime factorization of 45353 and 45360. After we will calculate the factors of 45353 and 45360 and find the biggest common factor number .

Step-1: Prime Factorization of 45353

Prime factors of 45353 are 7, 11, 19, 31. Prime factorization of 45353 in exponential form is:

45353 = 7¹ × 11¹ × 19¹ × 31¹

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 45353

List of positive integer factors of 45353 that divides 45353 without a remainder.

1, 7, 11, 19, 31, 77, 133, 209, 217, 341, 589, 1463, 2387, 4123, 6479

Step-4: Factors of 45360

List of positive integer factors of 45360 that divides 45353 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 45353 and 45360. The biggest common factor number is the GCF number.
So the greatest common factor 45353 and 45360 is 7.

Also check out the Least Common Multiple of 45353 and 45360